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The range of signed decimal number that can be represented by 6 bit in complement number is
- a)-31 to +31
- b)-63 to +64
- c)-64 to +63
- d)-32 to +31
Correct answer is option 'A'. Can you explain this answer?
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Range of Signed Decimal Number Represented by 6-bit Complement Number
Complement number system is used to represent both positive and negative numbers in binary form. In this system, the negative numbers are represented in two's complement form.
Two's complement is obtained by taking the one's complement of a number (flipping all the bits) and adding 1 to it.
For example, the two's complement of -5 in 6-bit binary form is:
-5 = 1011 (in binary)
One's complement of 1011 is 0100
Adding 1 to 0100 gives 0101, which is the two's complement of -5 in 6-bit binary form
The range of signed decimal numbers that can be represented by 6-bit complement number system is given by:
-2^(n-1) to 2^(n-1) - 1
where n is the number of bits
For a 6-bit complement number system, n = 6, so the range of signed decimal numbers is:
-2^(6-1) to 2^(6-1) - 1
= -32 to 31
Therefore, option 'A' (-31 to 31) is the correct answer.
Complement number system is used to represent both positive and negative numbers in binary form. In this system, the negative numbers are represented in two's complement form.
Two's complement is obtained by taking the one's complement of a number (flipping all the bits) and adding 1 to it.
For example, the two's complement of -5 in 6-bit binary form is:
-5 = 1011 (in binary)
One's complement of 1011 is 0100
Adding 1 to 0100 gives 0101, which is the two's complement of -5 in 6-bit binary form
The range of signed decimal numbers that can be represented by 6-bit complement number system is given by:
-2^(n-1) to 2^(n-1) - 1
where n is the number of bits
For a 6-bit complement number system, n = 6, so the range of signed decimal numbers is:
-2^(6-1) to 2^(6-1) - 1
= -32 to 31
Therefore, option 'A' (-31 to 31) is the correct answer.
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The range of signed decimal number that can be represented by 6 bit in complement number isa)-31 to +31b)-63 to +64c)-64 to +63d)-32 to +31Correct answer is option 'A'. Can you explain this answer?
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