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The minimum number of bits required to represent - 64 in 2’s complement representation is _________.
Correct answer is '7'. Can you explain this answer?
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Verified Answer
The minimum number of bits required to represent - 64 in 2’s com...
Whenever a number is in 2n form then the minimal 2’s complement representation is 1 followed by n number of zeros.
So, – 64 = – 26 = 1000000
Most Upvoted Answer
The minimum number of bits required to represent - 64 in 2’s com...
To represent -64 in 2's complement, we need to find the minimum number of bits required to represent the absolute value of -64 in binary form.
The absolute value of -64 is 64. To represent this value in binary, we convert it to binary form:
64 = 1000000
To represent 64 in 2's complement, we need 7 bits. The leftmost bit is reserved for the sign (0 for positive, 1 for negative), and the remaining bits represent the magnitude.
Therefore, the minimum number of bits required to represent -64 in 2's complement is 7 bits.
The absolute value of -64 is 64. To represent this value in binary, we convert it to binary form:
64 = 1000000
To represent 64 in 2's complement, we need 7 bits. The leftmost bit is reserved for the sign (0 for positive, 1 for negative), and the remaining bits represent the magnitude.
Therefore, the minimum number of bits required to represent -64 in 2's complement is 7 bits.
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Community Answer
The minimum number of bits required to represent - 64 in 2’s com...
-2^(7-1) to 2^(7-1)-1 is possible number with 7 bits
i.e,(-64 to 64)
so any bits less than 7 can not fall in the range where -64 belongs.
Or
how many bits can not create the range where -64 belongs(6)
then add +1(7).
i.e,(-64 to 64)
so any bits less than 7 can not fall in the range where -64 belongs.
Or
how many bits can not create the range where -64 belongs(6)
then add +1(7).
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The minimum number of bits required to represent - 64 in 2’s complement representation is _________.Correct answer is '7'. Can you explain this answer?
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