The smallest integer that can be represented by an 8- bit number in 2andrsquo;s complement form isa)-256b)-128c)127d)-255Correct answer is option 'B'. Can you explain this answer?

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The smallest integer that can be represented by an 8- bit number in 2’s complement form is

a)
-256
b)
-128
c)
127
d)
-255

Correct answer is option 'B'. Can you explain this answer?

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The smallest integer that can be represented by an 8-bit number in 2's complement form is -128.

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The smallest integer that can be represented by an 8- bit number in 2&...

The smallest integer that can be represented by an 8- bit number in 2’s complement form is -128.
The sign bit is the most important bit.
00000001 is +1, a number which is positive.
So, the range of 8-bit complement numbers of two is -128 to 127, since 128 is not representable (it would be 10000000, but the sign bit rule says that would be a negative number).
10000000 is the most negative figure.
The leading 1 tells you it is negative, and you flip all the bits (011111111) to get the magnitude of the number, then add one (10000000 = 128).
So -128 is the resulting number.

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