Term
| What base 10 number is the same as the binary number 11011001? |
|
Definition
| "217. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What base 10 number is the same as the binary number 100111? |
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Definition
| "39. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What base 10 number is the same as the binary number 1111010100? |
|
Definition
| "980. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 100011001? |
|
Definition
| "281. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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Term
| What base 10 number is the same as the binary number 1100001111? |
|
Definition
| "783. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 100011111? |
|
Definition
| "287. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What binary number is the same as the base 10 number 78? |
|
Definition
| "1001110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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Term
| What binary number is the same as the base 10 number 50? |
|
Definition
| "110010. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What binary number is the same as the base 10 number 190? |
|
Definition
| "10111110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What binary number is the same as the base 10 number 974? |
|
Definition
| "1111001110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What binary number is the same as the base 10 number 965? |
|
Definition
| "1111000101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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|
Term
| What binary number is the same as the base 10 number 648? |
|
Definition
| "1010001000. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
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Term
| Convert the binary number 100000110111 into hexadecimal. |
|
Definition
| "837. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0111 is the same as hexadecimal 7, binary 0011 is hexadecimal 3, and binary 1000 is hexadecimal 8." |
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Term
| Convert the binary number 111111011011 into hexadecimal. |
|
Definition
| "FDB. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1011 is the same as hexadecimal B, binary 1101 is hexadecimal D, and binary 1111 is hexadecimal F." |
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|
Term
| Convert the binary number 100011111 into hexadecimal. |
|
Definition
| "11F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 0001 is hexadecimal 1, and binary 1 is hexadecimal 1." |
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|
Term
| Convert the binary number 111110011 into hexadecimal. |
|
Definition
| "1F3. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0011 is the same as hexadecimal 3, binary 1111 is hexadecimal F, and binary 1 is hexadecimal 1." |
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|
Term
| Convert the binary number 111110011110 into hexadecimal. |
|
Definition
| "F9E. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1110 is the same as hexadecimal E, binary 1001 is hexadecimal 9, and binary 1111 is hexadecimal F." |
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|
Term
| Convert the binary number 110110000110 into hexadecimal. |
|
Definition
| "D86. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0110 is the same as hexadecimal 6, binary 1000 is hexadecimal 8, and binary 1101 is hexadecimal D." |
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|
Term
| Convert the hexadecimal number FFE into binary. |
|
Definition
| "111111111110. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal E is the binary 1110, hexadecimal F is binary 1111, and hexadecimal F is binary 1101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number AA1 into binary. |
|
Definition
| "101010100001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 1 is the binary 0001, hexadecimal A is binary 1010, and hexadecimal A is binary 1111. You can only leave off leading zeroes on the binary digits on the left-most digit." |
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|
Term
| Convert the hexadecimal number 57E into binary. |
|
Definition
| "10101111110. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal E is the binary 1110, hexadecimal 7 is binary 0111, and hexadecimal 5 is binary 1010. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number B6A into binary. |
|
Definition
| "101101101010. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal A is the binary 1010, hexadecimal 6 is binary 0110, and hexadecimal B is binary 101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number E69 into binary. |
|
Definition
| "111001101001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 9 is the binary 1001, hexadecimal 6 is binary 0110, and hexadecimal E is binary 1011. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 145 into binary. |
|
Definition
| "101000101. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 5 is the binary 0101, hexadecimal 4 is binary 0100, and hexadecimal 1 is binary 1110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
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|
Term
| What base 10 number is equal to the binary number 100.0101? |
|
Definition
| "4.3125. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/16, which converts to 0.3125 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 111.0001? |
|
Definition
| "7.0625. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 1/16, which converts to 0.0625 as a decimal number." |
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|
Term
| What base 10 number is equal to the binary number 11.0110? |
|
Definition
| "3.375. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 3/8, which converts to 0.375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.1000? |
|
Definition
| "3.5. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 1/2, which converts to 0.5 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.0110? |
|
Definition
| "3.375. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 3/8, which converts to 0.375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.1101? |
|
Definition
| "2.8125. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 13/16, which converts to 0.8125 as a decimal number." |
|
|
Term
| Write the base 10 number 7.1875 in binary. |
|
Definition
| "7.1875. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.1875, which is 3/16." |
|
|
Term
| Write the base 10 number 2.125 in binary. |
|
Definition
| "2.125. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.125, which is 1/8." |
|
|
Term
| Write the base 10 number 5.875 in binary. |
|
Definition
| "5.875. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.875, which is 7/8." |
|
|
Term
| Write the base 10 number 7.0625 in binary. |
|
Definition
| "7.0625. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.0625, which is 1/16." |
|
|
Term
| Write the base 10 number 4.8125 in binary. |
|
Definition
| "4.8125. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.8125, which is 13/16." |
|
|
Term
| Write the base 10 number 7.4375 in binary. |
|
Definition
| "7.4375. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.4375, which is 7/16." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10100001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "100011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "111001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10100001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10011111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| Add the binary numbers 1001110 and 1000001. Leave the answer as a binary number. |
|
Definition
| "10001111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| What is 1010111 - 10111? Leave the answer as a binary number. |
|
Definition
| "1000000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001110 - 10100? Leave the answer as a binary number. |
|
Definition
| "111010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1100110 - 111100? Leave the answer as a binary number. |
|
Definition
| "101010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1101111 - 111011? Leave the answer as a binary number. |
|
Definition
| "110100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1100010 - 1? Leave the answer as a binary number. |
|
Definition
| "1100001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1111001 - 100100? Leave the answer as a binary number. |
|
Definition
| "1010101. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
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|
Term
| What is 1010 x 10? Leave the answer as a binary number. |
|
Definition
| "10100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 111? Leave the answer as a binary number. |
|
Definition
| "1100010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 110 x 1100? Leave the answer as a binary number. |
|
Definition
| "1001000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 111 x 1001? Leave the answer as a binary number. |
|
Definition
| "111111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 100 x 110? Leave the answer as a binary number. |
|
Definition
| "11000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1100 x 110? Leave the answer as a binary number. |
|
Definition
| "1001000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1000÷1000? Leave the answer as a binary number. |
|
Definition
| 1. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1111110÷1001? Leave the answer as a binary number. |
|
Definition
| 1110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 11111100÷1110? Leave the answer as a binary number. |
|
Definition
| 10010. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 11000110÷1001? Leave the answer as a binary number. |
|
Definition
| 10110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1000÷0010? Leave the answer as a binary number. |
|
Definition
| 100. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 11001000÷1010? Leave the answer as a binary number. |
|
Definition
| 10100. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is the base 10 equivalent of the binary number 111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 100? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11101? |
|
Definition
|
|
Term
| What base 10 number is the same as the binary number 111110? |
|
Definition
| "62. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1000? |
|
Definition
| "8. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 11011011? |
|
Definition
| "219. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 111111111? |
|
Definition
| "511. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 111001011? |
|
Definition
| "459. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 11010010? |
|
Definition
| "210. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 54? |
|
Definition
| "110110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 322? |
|
Definition
| "101000010. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 134? |
|
Definition
| "10000110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 806? |
|
Definition
| "1100100110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 102? |
|
Definition
| "1100110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 334? |
|
Definition
| "101001110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| Convert the binary number 111011010101 into hexadecimal. |
|
Definition
| "ED5. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0101 is the same as hexadecimal 5, binary 1101 is hexadecimal D, and binary 1110 is hexadecimal E." |
|
|
Term
| Convert the binary number 111110011110 into hexadecimal. |
|
Definition
| "F9E. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1110 is the same as hexadecimal E, binary 1001 is hexadecimal 9, and binary 1111 is hexadecimal F." |
|
|
Term
| Convert the binary number 100010000110 into hexadecimal. |
|
Definition
| "886. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0110 is the same as hexadecimal 6, binary 1000 is hexadecimal 8, and binary 1000 is hexadecimal 8." |
|
|
Term
| Convert the binary number 111010010 into hexadecimal. |
|
Definition
| "1D2. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0010 is the same as hexadecimal 2, binary 1101 is hexadecimal D, and binary 1 is hexadecimal 1." |
|
|
Term
| Convert the binary number 11111111111 into hexadecimal. |
|
Definition
| "7FF. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 1111 is hexadecimal F, and binary 111 is hexadecimal 7." |
|
|
Term
| Convert the binary number 111111110010 into hexadecimal. |
|
Definition
| "FF2. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0010 is the same as hexadecimal 2, binary 1111 is hexadecimal F, and binary 1111 is hexadecimal F." |
|
|
Term
| Convert the hexadecimal number 6EA into binary. |
|
Definition
| "11011101010. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal A is the binary 1010, hexadecimal E is binary 1110, and hexadecimal 6 is binary 1111. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number B42 into binary. |
|
Definition
| "101101000010. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 2 is the binary 0010, hexadecimal 4 is binary 0100, and hexadecimal B is binary 110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number D6E into binary. |
|
Definition
| "110101101110. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal E is the binary 1110, hexadecimal 6 is binary 0110, and hexadecimal D is binary 1011. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number FFC into binary. |
|
Definition
| "111111111100. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal C is the binary 1100, hexadecimal F is binary 1111, and hexadecimal F is binary 1101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 6FE into binary. |
|
Definition
| "11011111110. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal E is the binary 1110, hexadecimal F is binary 1111, and hexadecimal 6 is binary 1111. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 117 into binary. |
|
Definition
| "100010111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 7 is the binary 0111, hexadecimal 1 is binary 0001, and hexadecimal 1 is binary 110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| What base 10 number is equal to the binary number 110.1010? |
|
Definition
| "6.625. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/8, which converts to 0.625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.1111? |
|
Definition
| "2.9375. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 15/16, which converts to 0.9375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 110.1101? |
|
Definition
| "6.8125. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 13/16, which converts to 0.8125 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 101.0001? |
|
Definition
| "5.0625. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 1/16, which converts to 0.0625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 111.1011? |
|
Definition
| "7.6875. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 11/16, which converts to 0.6875 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.0010? |
|
Definition
| "2.125. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 1/8, which converts to 0.125 as a decimal number." |
|
|
Term
| Write the base 10 number 4.5625 in binary. |
|
Definition
| "4.5625. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5625, which is 9/16." |
|
|
Term
| Write the base 10 number 6.6875 in binary. |
|
Definition
| "6.6875. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.6875, which is 11/16." |
|
|
Term
| Write the base 10 number 7.875 in binary. |
|
Definition
| "7.875. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.875, which is 7/8." |
|
|
Term
| Write the base 10 number 4.6875 in binary. |
|
Definition
| "4.6875. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.6875, which is 11/16." |
|
|
Term
| Write the base 10 number 2.5625 in binary. |
|
Definition
| "2.5625. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5625, which is 9/16." |
|
|
Term
| Write the base 10 number 5.75 in binary. |
|
Definition
| "5.75. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.75, which is 3/4." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "1100011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10010001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "1111110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "101100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10111000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| Add the binary numbers 111111 and 11011. Leave the answer as a binary number. |
|
Definition
| "1011010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| What is 1010010 - 100101? Leave the answer as a binary number. |
|
Definition
| "101101. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1101110 - 1100? Leave the answer as a binary number. |
|
Definition
| "1100010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001101 - 100001? Leave the answer as a binary number. |
|
Definition
| "101100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1111111 - 110? Leave the answer as a binary number. |
|
Definition
| "1111001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1111110 - 110110? Leave the answer as a binary number. |
|
Definition
| "1001000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1011100 - 10010? Leave the answer as a binary number. |
|
Definition
| "1001010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1110 x 10? Leave the answer as a binary number. |
|
Definition
| "11100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1000 x 1001? Leave the answer as a binary number. |
|
Definition
| "1001000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 11 x 100? Leave the answer as a binary number. |
|
Definition
| "1100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1010 x 1000? Leave the answer as a binary number. |
|
Definition
| "1010000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 110 x 1000? Leave the answer as a binary number. |
|
Definition
| "110000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1101 x 1? Leave the answer as a binary number. |
|
Definition
| "1101. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110000100÷1111? Leave the answer as a binary number. |
|
Definition
| 111100. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1110111÷0111? Leave the answer as a binary number. |
|
Definition
| 10001. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 10101011÷0011? Leave the answer as a binary number. |
|
Definition
| 111001. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1101110÷1011? Leave the answer as a binary number. |
|
Definition
| 1010. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1111000÷0110? Leave the answer as a binary number. |
|
Definition
| 10100. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 100000÷0010? Leave the answer as a binary number. |
|
Definition
| 10000. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is the base 10 equivalent of the binary number 100? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 110? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1000? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10100? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11010? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11101? |
|
Definition
|
|
Term
| What base 10 number is the same as the binary number 1000000? |
|
Definition
| "64. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 100000010? |
|
Definition
| "258. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1011001000? |
|
Definition
| "712. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1011111111? |
|
Definition
| "767. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 10101101? |
|
Definition
| "173. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1011001110? |
|
Definition
| "718. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 109? |
|
Definition
| "1101101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 487? |
|
Definition
| "111100111. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 60? |
|
Definition
| "111100. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 669? |
|
Definition
| "1010011101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 949? |
|
Definition
| "1110110101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 209? |
|
Definition
| "11010001. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| Convert the binary number 11110011011 into hexadecimal. |
|
Definition
| "79B. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1011 is the same as hexadecimal B, binary 1001 is hexadecimal 9, and binary 111 is hexadecimal 7." |
|
|
Term
| Convert the binary number 10101110101 into hexadecimal. |
|
Definition
| "575. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0101 is the same as hexadecimal 5, binary 0111 is hexadecimal 7, and binary 101 is hexadecimal 5." |
|
|
Term
| Convert the binary number 100101101111 into hexadecimal. |
|
Definition
| "96F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 0110 is hexadecimal 6, and binary 1001 is hexadecimal 9." |
|
|
Term
| Convert the binary number 100011011011 into hexadecimal. |
|
Definition
| "8DB. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1011 is the same as hexadecimal B, binary 1101 is hexadecimal D, and binary 1000 is hexadecimal 8." |
|
|
Term
| Convert the binary number 10010011111 into hexadecimal. |
|
Definition
| "49F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 1001 is hexadecimal 9, and binary 100 is hexadecimal 4." |
|
|
Term
| Convert the binary number 10110100100 into hexadecimal. |
|
Definition
| "5A4. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0100 is the same as hexadecimal 4, binary 1010 is hexadecimal A, and binary 101 is hexadecimal 5." |
|
|
Term
| Convert the hexadecimal number DB1 into binary. |
|
Definition
| "110110110001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 1 is the binary 0001, hexadecimal B is binary 1011, and hexadecimal D is binary 101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 5D3 into binary. |
|
Definition
| "10111010011. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 3 is the binary 0011, hexadecimal D is binary 1101, and hexadecimal 5 is binary 1101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 844 into binary. |
|
Definition
| "100001000100. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 4 is the binary 0100, hexadecimal 4 is binary 0100, and hexadecimal 8 is binary 101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number B79 into binary. |
|
Definition
| "101101111001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 9 is the binary 1001, hexadecimal 7 is binary 0111, and hexadecimal B is binary 1000. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number CA3 into binary. |
|
Definition
| "110010100011. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 3 is the binary 0011, hexadecimal A is binary 1010, and hexadecimal C is binary 1011. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 789 into binary. |
|
Definition
| "11110001001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 9 is the binary 1001, hexadecimal 8 is binary 1000, and hexadecimal 7 is binary 1100. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| What base 10 number is equal to the binary number 100.0101? |
|
Definition
| "4.3125. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/16, which converts to 0.3125 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 100.1100? |
|
Definition
| "4.75. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 3/4, which converts to 0.75 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.1111? |
|
Definition
| "3.9375. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 15/16, which converts to 0.9375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.1110? |
|
Definition
| "2.875. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 7/8, which converts to 0.875 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 111.1010? |
|
Definition
| "7.625. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/8, which converts to 0.625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.0110? |
|
Definition
| "2.375. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 3/8, which converts to 0.375 as a decimal number." |
|
|
Term
| Write the base 10 number 2.4375 in binary. |
|
Definition
| "2.4375. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.4375, which is 7/16." |
|
|
Term
| Write the base 10 number 6.0625 in binary. |
|
Definition
| "6.0625. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.0625, which is 1/16." |
|
|
Term
| Write the base 10 number 3.625 in binary. |
|
Definition
| "3.625. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.625, which is 5/8." |
|
|
Term
| Write the base 10 number 2.1875 in binary. |
|
Definition
| "2.1875. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.1875, which is 3/16." |
|
|
Term
| Write the base 10 number 3.0625 in binary. |
|
Definition
| "3.0625. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.0625, which is 1/16." |
|
|
Term
| Write the base 10 number 2.1875 in binary. |
|
Definition
| "2.1875. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.1875, which is 3/16." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10100000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10001011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10101100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "1111011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10010000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| Add the binary numbers 110 and 1011001. Leave the answer as a binary number. |
|
Definition
| "1011111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| What is 1111010 - 110111? Leave the answer as a binary number. |
|
Definition
| "1000011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1000110 - 101111? Leave the answer as a binary number. |
|
Definition
| "10111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1011100 - 11110? Leave the answer as a binary number. |
|
Definition
| "111110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001100 - 11011? Leave the answer as a binary number. |
|
Definition
| "110001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1010010 - 11011? Leave the answer as a binary number. |
|
Definition
| "110111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1101111 - 1? Leave the answer as a binary number. |
|
Definition
| "1101110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1010 x 1100? Leave the answer as a binary number. |
|
Definition
| "1111000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 111 x 110? Leave the answer as a binary number. |
|
Definition
| "101010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 10? Leave the answer as a binary number. |
|
Definition
| "11100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1101 x 1111? Leave the answer as a binary number. |
|
Definition
| "11000011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 110 x 1110? Leave the answer as a binary number. |
|
Definition
| "1010100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1111 x 1? Leave the answer as a binary number. |
|
Definition
| "1111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 10010001÷0101? Leave the answer as a binary number. |
|
Definition
| 11101. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1001000÷0110? Leave the answer as a binary number. |
|
Definition
| 1100. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 111110100÷1010? Leave the answer as a binary number. |
|
Definition
| 110010. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 110111÷0001? Leave the answer as a binary number. |
|
Definition
| 110111. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 110101101÷1101? Leave the answer as a binary number. |
|
Definition
| 100001. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 10100000÷0100? Leave the answer as a binary number. |
|
Definition
| 101000. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is the base 10 equivalent of the binary number 111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 110? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10100? |
|
Definition
|
|
Term
| What base 10 number is the same as the binary number 1000000101? |
|
Definition
| "517. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 101100011? |
|
Definition
| "355. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1110101010? |
|
Definition
| "938. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1100? |
|
Definition
| "12. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1011101111? |
|
Definition
| "751. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 110111001? |
|
Definition
| "441. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 607? |
|
Definition
| "1001011111. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 110? |
|
Definition
| "1101110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 238? |
|
Definition
| "11101110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 869? |
|
Definition
| "1101100101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 188? |
|
Definition
| "10111100. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 177? |
|
Definition
| "10110001. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| Convert the binary number 10100101110 into hexadecimal. |
|
Definition
| "52E. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1110 is the same as hexadecimal E, binary 0010 is hexadecimal 2, and binary 101 is hexadecimal 5." |
|
|
Term
| Convert the binary number 111001001101 into hexadecimal. |
|
Definition
| "E4D. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1101 is the same as hexadecimal D, binary 0100 is hexadecimal 4, and binary 1110 is hexadecimal E." |
|
|
Term
| Convert the binary number 1101110110 into hexadecimal. |
|
Definition
| "376. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0110 is the same as hexadecimal 6, binary 0111 is hexadecimal 7, and binary 11 is hexadecimal 3." |
|
|
Term
| Convert the binary number 1101110110 into hexadecimal. |
|
Definition
| "376. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0110 is the same as hexadecimal 6, binary 0111 is hexadecimal 7, and binary 11 is hexadecimal 3." |
|
|
Term
| Convert the binary number 100110001111 into hexadecimal. |
|
Definition
| "98F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 1000 is hexadecimal 8, and binary 1001 is hexadecimal 9." |
|
|
Term
| Convert the binary number 10100101111 into hexadecimal. |
|
Definition
| "52F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 0010 is hexadecimal 2, and binary 101 is hexadecimal 5." |
|
|
Term
| Convert the hexadecimal number 4C7 into binary. |
|
Definition
| "10011000111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 7 is the binary 0111, hexadecimal C is binary 1100, and hexadecimal 4 is binary 101. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number FFF into binary. |
|
Definition
| "111111111111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal F is the binary 1111, hexadecimal F is binary 1111, and hexadecimal F is binary 100. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 81F into binary. |
|
Definition
| "100000011111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal F is the binary 1111, hexadecimal 1 is binary 0001, and hexadecimal 8 is binary 1111. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 696 into binary. |
|
Definition
| "11010010110. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 6 is the binary 0110, hexadecimal 9 is binary 1001, and hexadecimal 6 is binary 1000. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 1EC into binary. |
|
Definition
| "111101100. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal C is the binary 1100, hexadecimal E is binary 1110, and hexadecimal 1 is binary 110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 463 into binary. |
|
Definition
| "10001100011. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 3 is the binary 0011, hexadecimal 6 is binary 0110, and hexadecimal 4 is binary 1. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| What base 10 number is equal to the binary number 111.0101? |
|
Definition
| "7.3125. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/16, which converts to 0.3125 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.1010? |
|
Definition
| "2.625. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/8, which converts to 0.625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 100.1010? |
|
Definition
| "4.625. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/8, which converts to 0.625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.1101? |
|
Definition
| "3.8125. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 13/16, which converts to 0.8125 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 111.1011? |
|
Definition
| "7.6875. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 11/16, which converts to 0.6875 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.0101? |
|
Definition
| "2.3125. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 5/16, which converts to 0.3125 as a decimal number." |
|
|
Term
| Write the base 10 number 3.375 in binary. |
|
Definition
| "3.375. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.375, which is 3/8." |
|
|
Term
| Write the base 10 number 6.875 in binary. |
|
Definition
| "6.875. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.875, which is 7/8." |
|
|
Term
| Write the base 10 number 3.0625 in binary. |
|
Definition
| "3.0625. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.0625, which is 1/16." |
|
|
Term
| Write the base 10 number 3.125 in binary. |
|
Definition
| "3.125. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.125, which is 1/8." |
|
|
Term
| Write the base 10 number 5.5625 in binary. |
|
Definition
| "5.5625. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5625, which is 9/16." |
|
|
Term
| Write the base 10 number 4.5625 in binary. |
|
Definition
| "4.5625. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5625, which is 9/16." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10011011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "11011001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "11011101. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10010000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "1100011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| Add the binary numbers 1101010 and 110111. Leave the answer as a binary number. |
|
Definition
| "10100001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| What is 1000011 - 111101? Leave the answer as a binary number. |
|
Definition
| "0110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1101010 - 101001? Leave the answer as a binary number. |
|
Definition
| "1000001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001101 - 1110? Leave the answer as a binary number. |
|
Definition
| "111111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1111100 - 111? Leave the answer as a binary number. |
|
Definition
| "1110101. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001111 - 11100? Leave the answer as a binary number. |
|
Definition
| "110011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1001010 - 110011? Leave the answer as a binary number. |
|
Definition
| "10111. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1 x 1010? Leave the answer as a binary number. |
|
Definition
| "1010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1010 x 100? Leave the answer as a binary number. |
|
Definition
| "101000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 1110? Leave the answer as a binary number. |
|
Definition
| "11000100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 100 x 101? Leave the answer as a binary number. |
|
Definition
| "10100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 100 x 1000? Leave the answer as a binary number. |
|
Definition
| "100000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 1101? Leave the answer as a binary number. |
|
Definition
| "10110110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 111001011÷1001? Leave the answer as a binary number. |
|
Definition
| 110011. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1011011000÷1101? Leave the answer as a binary number. |
|
Definition
| 111000. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 110111÷0101? Leave the answer as a binary number. |
|
Definition
| 1011. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1010110010÷1111? Leave the answer as a binary number. |
|
Definition
| 101110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1000110÷0101? Leave the answer as a binary number. |
|
Definition
| 1110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1011100÷0010? Leave the answer as a binary number. |
|
Definition
| 101110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is the base 10 equivalent of the binary number 101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 111? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 100? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11000? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 11011? |
|
Definition
|
|
Term
| What base 10 number is the same as the binary number 1011000010? |
|
Definition
| "706. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1101000111? |
|
Definition
| "839. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 110000? |
|
Definition
| "48. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1011110111? |
|
Definition
| "759. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1100111? |
|
Definition
| "103. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What base 10 number is the same as the binary number 1100000110? |
|
Definition
| "774. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 435? |
|
Definition
| "110110011. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 910? |
|
Definition
| "1110001110. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 21? |
|
Definition
| "10101. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 747? |
|
Definition
| "1011101011. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 1017? |
|
Definition
| "1111111001. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| What binary number is the same as the base 10 number 659? |
|
Definition
| "1010010011. EXPLANATION: From right to left, the columns in a binary integer represent 1, 2, 4, 8, 16, 32, 64, and so on. Simply add the value of each column that has a 1." |
|
|
Term
| Convert the binary number 111010111111 into hexadecimal. |
|
Definition
| "EBF. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 1011 is hexadecimal B, and binary 1110 is hexadecimal E." |
|
|
Term
| Convert the binary number 100111110101 into hexadecimal. |
|
Definition
| "9F5. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0101 is the same as hexadecimal 5, binary 1111 is hexadecimal F, and binary 1001 is hexadecimal 9." |
|
|
Term
| Convert the binary number 100101101100 into hexadecimal. |
|
Definition
| "96C. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1100 is the same as hexadecimal C, binary 0110 is hexadecimal 6, and binary 1001 is hexadecimal 9." |
|
|
Term
| Convert the binary number 111111111111 into hexadecimal. |
|
Definition
| "FFF. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 1111 is hexadecimal F, and binary 1111 is hexadecimal F." |
|
|
Term
| Convert the binary number 11110010100 into hexadecimal. |
|
Definition
| "794. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 0100 is the same as hexadecimal 4, binary 1001 is hexadecimal 9, and binary 111 is hexadecimal 7." |
|
|
Term
| Convert the binary number 11000101111 into hexadecimal. |
|
Definition
| "62F. EXPLANATION: Start at the right, and convert in blocks of four digits. Binary 1111 is the same as hexadecimal F, binary 0010 is hexadecimal 2, and binary 110 is hexadecimal 6." |
|
|
Term
| Convert the hexadecimal number B72 into binary. |
|
Definition
| "101101110010. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 2 is the binary 0010, hexadecimal 7 is binary 0111, and hexadecimal B is binary 110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number C32 into binary. |
|
Definition
| "110000110010. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 2 is the binary 0010, hexadecimal 3 is binary 0011, and hexadecimal C is binary 1011. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 6D3 into binary. |
|
Definition
| "11011010011. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 3 is the binary 0011, hexadecimal D is binary 1101, and hexadecimal 6 is binary 1100. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number C9F into binary. |
|
Definition
| "110010011111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal F is the binary 1111, hexadecimal 9 is binary 1001, and hexadecimal C is binary 110. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number 28F into binary. |
|
Definition
| "1010001111. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal F is the binary 1111, hexadecimal 8 is binary 1000, and hexadecimal 2 is binary 1100. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| Convert the hexadecimal number F39 into binary. |
|
Definition
| "111100111001. EXPLANATION: Start at the right, and convert each hexadecimal digit into binary digits. Hexadecimal 9 is the binary 1001, hexadecimal 3 is binary 0011, and hexadecimal F is binary 10. You can only leave off leading zeroes on the binary digits on the left-most digit." |
|
|
Term
| What base 10 number is equal to the binary number 111.0001? |
|
Definition
| "7.0625. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 1/16, which converts to 0.0625 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.1110? |
|
Definition
| "3.875. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 7/8, which converts to 0.875 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 100.0111? |
|
Definition
| "4.4375. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 7/16, which converts to 0.4375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 101.1100? |
|
Definition
| "5.75. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 3/4, which converts to 0.75 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 10.0111? |
|
Definition
| "2.4375. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 7/16, which converts to 0.4375 as a decimal number." |
|
|
Term
| What base 10 number is equal to the binary number 11.1110? |
|
Definition
| "3.875. EXPLANATION: To the left of the decimal point, the value is 3. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We add these for the digits that are 1, and the total is 7/8, which converts to 0.875 as a decimal number." |
|
|
Term
| Write the base 10 number 4.5 in binary. |
|
Definition
| "4.5. EXPLANATION: To the left of the decimal point, the value is 4. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5, which is 1/2." |
|
|
Term
| Write the base 10 number 7.6875 in binary. |
|
Definition
| "7.6875. EXPLANATION: To the left of the decimal point, the value is 7. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.6875, which is 11/16." |
|
|
Term
| Write the base 10 number 2.125 in binary. |
|
Definition
| "2.125. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.125, which is 1/8." |
|
|
Term
| Write the base 10 number 5.5 in binary. |
|
Definition
| "5.5. EXPLANATION: To the left of the decimal point, the value is 5. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.5, which is 1/2." |
|
|
Term
| Write the base 10 number 2.9375 in binary. |
|
Definition
| "2.9375. EXPLANATION: To the left of the decimal point, the value is 2. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.9375, which is 15/16." |
|
|
Term
| Write the base 10 number 6.8125 in binary. |
|
Definition
| "6.8125. EXPLANATION: To the left of the decimal point, the value is 6. To the right of the decimal point, going from left to right, the digits represent 1/2, 1/4, 1/8, 1/16 and so on. We put a 1 in each digit that we need to add in order to make the total equal 0.8125, which is 13/16." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "11110001. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10011010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "1000000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "11110. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| "Add two positive binary integers up to 7 digits in length, including carrying." |
|
Definition
| "10010100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| Add the binary numbers 101110 and 1101110. Leave the answer as a binary number. |
|
Definition
| "10011100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then add as usual, with 0+0=0, 0+1=1, 1+1=10 (write the 0 and carry the 1 to the next column). If, when you carry, you have to add 1+1+1, the answer is 11, so write a 1 and carry the other 1 to the next column." |
|
|
Term
| What is 1110001 - 100111? Leave the answer as a binary number. |
|
Definition
| "1001010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1100101 - 10010? Leave the answer as a binary number. |
|
Definition
| "1010011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1110101 - 101011? Leave the answer as a binary number. |
|
Definition
| "1001010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1110111 - 111111? Leave the answer as a binary number. |
|
Definition
| "111000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1111001 - 11110? Leave the answer as a binary number. |
|
Definition
| "1011011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1010010 - 110? Leave the answer as a binary number. |
|
Definition
| "1001100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then subtract as usual, with 0-0=0, 1-1=0 and 1-0=1. If you come across 0-1, borrow a 1 and proceed as usual." |
|
|
Term
| What is 1000 x 1000? Leave the answer as a binary number. |
|
Definition
| "1000000. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1 x 1011? Leave the answer as a binary number. |
|
Definition
| "1011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1001 x 1011? Leave the answer as a binary number. |
|
Definition
| "1100011. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 10 x 1010? Leave the answer as a binary number. |
|
Definition
| "10100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 1110? Leave the answer as a binary number. |
|
Definition
| "11000100. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 1110 x 1011? Leave the answer as a binary number. |
|
Definition
| "10011010. EXPLANATION: Write the two numbers, one above the other, aligned on the rightmost digit. Then multiply as usual, with 0x0=0, 0x1=0 and 1x1=1." |
|
|
Term
| What is 10011000÷1000? Leave the answer as a binary number. |
|
Definition
| 10011. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 100001001÷0101? Leave the answer as a binary number. |
|
Definition
| 110101. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 110÷0001? Leave the answer as a binary number. |
|
Definition
| 110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 11000110÷1011? Leave the answer as a binary number. |
|
Definition
| 10010. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1110000÷1000? Leave the answer as a binary number. |
|
Definition
| 1110. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is 1110÷0111? Leave the answer as a binary number. |
|
Definition
| 10. EXPLANATION: Binary long division is similar to base 10 long division. |
|
|
Term
| What is the base 10 equivalent of the binary number 110? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 110? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 110? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1101? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 1011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10011? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10001? |
|
Definition
|
|
Term
| What is the base 10 equivalent of the binary number 10010? |
|
Definition
|
|
