NIMCET 2017 — Computer PYQ
NIMCET | Computer | 2017The smallest integer that can be represented by an 8- bit number in 2’s complement form is
Choose the correct answer:
- A.
-256
- B.
-128
(Correct Answer) - C.
127
- D.
-255
-128
Explanation
The Correct Answer is -128.
- 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 wouldbe 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 thenumber, then add one (10000000 = 128).
- So -128 is the resulting number.
Explanation
The Correct Answer is -128.
- 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 wouldbe 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 thenumber, then add one (10000000 = 128).
- So -128 is the resulting number.