Binary Numbers - AP Computer Science Principles
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What is the binary equivalent of the decimal number 3?
What is the binary equivalent of the decimal number 3?
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- Decimal 3 = $2 + 1 = 2^1 + 2^0$, so positions 1 and 0 are set.
- Decimal 3 = $2 + 1 = 2^1 + 2^0$, so positions 1 and 0 are set.
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What is the binary subtraction of 1010 - 101?
What is the binary subtraction of 1010 - 101?
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- Subtract column by column: $1010 - 101 = 101$.
- Subtract column by column: $1010 - 101 = 101$.
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What does the binary number 1001 equal in octal?
What does the binary number 1001 equal in octal?
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- Binary 1001 equals decimal 9, which is octal 11.
- Binary 1001 equals decimal 9, which is octal 11.
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Convert the binary number 100 to hexadecimal.
Convert the binary number 100 to hexadecimal.
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- Binary 100 equals decimal 4, which is hex 4.
- Binary 100 equals decimal 4, which is hex 4.
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What is the binary addition of 1001 + 101?
What is the binary addition of 1001 + 101?
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- Add column by column: $1001 + 101 = 1110$.
- Add column by column: $1001 + 101 = 1110$.
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What is the binary subtraction of 1111 - 1101?
What is the binary subtraction of 1111 - 1101?
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- Subtract column by column: $1111 - 1101 = 10$.
- Subtract column by column: $1111 - 1101 = 10$.
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What does the binary number 1111 equal in octal?
What does the binary number 1111 equal in octal?
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- Binary 1111 equals decimal 15, which is octal 17.
- Binary 1111 equals decimal 15, which is octal 17.
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What is the result of binary multiplication: 11 * 11?
What is the result of binary multiplication: 11 * 11?
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- Binary multiplication: $11 \times 11 = 3 \times 3 = 9 = 1001$.
- Binary multiplication: $11 \times 11 = 3 \times 3 = 9 = 1001$.
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What is the binary representation of the hexadecimal number F?
What is the binary representation of the hexadecimal number F?
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- Hex F equals decimal 15, all four low-order bits set.
- Hex F equals decimal 15, all four low-order bits set.
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Convert the binary number 1010 to hexadecimal.
Convert the binary number 1010 to hexadecimal.
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A. Binary 1010 equals decimal 10, which is hex A.
A. Binary 1010 equals decimal 10, which is hex A.
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Define a bit in the context of binary numbers.
Define a bit in the context of binary numbers.
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A bit is a binary digit, 0 or 1. The fundamental unit of binary information.
A bit is a binary digit, 0 or 1. The fundamental unit of binary information.
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What is the binary subtraction of 1100 - 101?
What is the binary subtraction of 1100 - 101?
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- Subtract column by column with borrowing: $1100 - 101 = 111$.
- Subtract column by column with borrowing: $1100 - 101 = 111$.
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What does the binary number 1111 equal in octal?
What does the binary number 1111 equal in octal?
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- Binary 1111 equals decimal 15, which is octal 17.
- Binary 1111 equals decimal 15, which is octal 17.
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What is the binary equivalent of the decimal number 10?
What is the binary equivalent of the decimal number 10?
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- Decimal 10 = $8 + 2 = 2^3 + 2^1$, so positions 3 and 1 are set.
- Decimal 10 = $8 + 2 = 2^3 + 2^1$, so positions 3 and 1 are set.
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Convert the decimal number 15 to binary.
Convert the decimal number 15 to binary.
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- Decimal 15 = $8 + 4 + 2 + 1$, all four low-order bits set.
- Decimal 15 = $8 + 4 + 2 + 1$, all four low-order bits set.
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What is the binary subtraction of 1010 - 101?
What is the binary subtraction of 1010 - 101?
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- Subtract column by column: $1010 - 101 = 101$.
- Subtract column by column: $1010 - 101 = 101$.
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What is the result of binary multiplication: 101 * 11?
What is the result of binary multiplication: 101 * 11?
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- Binary multiplication: $101 \times 11 = 5 \times 3 = 15 = 1111$.
- Binary multiplication: $101 \times 11 = 5 \times 3 = 15 = 1111$.
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Define a nibble in terms of binary numbers.
Define a nibble in terms of binary numbers.
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A nibble is 4 bits. Half a byte, convenient for hex digit representation.
A nibble is 4 bits. Half a byte, convenient for hex digit representation.
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Convert the binary number 111 to decimal.
Convert the binary number 111 to decimal.
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- Binary 111 = $4 + 2 + 1 = 2^2 + 2^1 + 2^0 = 7$.
- Binary 111 = $4 + 2 + 1 = 2^2 + 2^1 + 2^0 = 7$.
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What is the binary equivalent of the decimal number 3?
What is the binary equivalent of the decimal number 3?
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- Decimal 3 = $2 + 1 = 2^1 + 2^0$, so positions 1 and 0 are set.
- Decimal 3 = $2 + 1 = 2^1 + 2^0$, so positions 1 and 0 are set.
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What is the result of binary multiplication: 10 * 10?
What is the result of binary multiplication: 10 * 10?
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- Binary multiplication: $10 \times 10 = 2 \times 2 = 4 = 100$.
- Binary multiplication: $10 \times 10 = 2 \times 2 = 4 = 100$.
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What is the largest number that can be represented with 4 bits?
What is the largest number that can be represented with 4 bits?
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- With 4 bits, maximum is $2^4 - 1 = 16 - 1 = 15$.
- With 4 bits, maximum is $2^4 - 1 = 16 - 1 = 15$.
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What is the binary addition of 1001 + 101?
What is the binary addition of 1001 + 101?
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- Add column by column: $1001 + 101 = 1110$.
- Add column by column: $1001 + 101 = 1110$.
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Convert the binary number 1010 to hexadecimal.
Convert the binary number 1010 to hexadecimal.
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A. Binary 1010 equals decimal 10, which is hex A.
A. Binary 1010 equals decimal 10, which is hex A.
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Convert the binary number 101 to hexadecimal.
Convert the binary number 101 to hexadecimal.
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- Binary 101 equals decimal 5, which is hex 5.
- Binary 101 equals decimal 5, which is hex 5.
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Convert the binary number 1101 to decimal.
Convert the binary number 1101 to decimal.
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- Binary 1101 = $8 + 4 + 1 = 2^3 + 2^2 + 2^0 = 13$.
- Binary 1101 = $8 + 4 + 1 = 2^3 + 2^2 + 2^0 = 13$.
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What is the result of binary multiplication: 11 * 11?
What is the result of binary multiplication: 11 * 11?
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- Binary multiplication: $11 \times 11 = 3 \times 3 = 9 = 1001$.
- Binary multiplication: $11 \times 11 = 3 \times 3 = 9 = 1001$.
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Convert the decimal number 8 to binary.
Convert the decimal number 8 to binary.
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- Decimal 8 = $2^3$, so only position 3 is set.
- Decimal 8 = $2^3$, so only position 3 is set.
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What does the binary number 1001 equal in octal?
What does the binary number 1001 equal in octal?
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- Binary 1001 equals decimal 9, which is octal 11.
- Binary 1001 equals decimal 9, which is octal 11.
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What is the binary equivalent of the decimal number 7?
What is the binary equivalent of the decimal number 7?
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- Decimal 7 = $4 + 2 + 1 = 2^2 + 2^1 + 2^0$.
- Decimal 7 = $4 + 2 + 1 = 2^2 + 2^1 + 2^0$.
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