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Two 4-bit two's complement numbers, 0111 and 0101, are added. Which of the following statements is correct?

2121Medium DSSSB TGT Computer Science 0 replies 1 views

AThe sum is 1100 and no overflow occurs
BThe sum is 0010 and a carry-out is produced
CThe sum is 1100 and overflow occurs, because +12 cannot be represented
DThe sum is 1100, which correctly represents +12

Correct answer: C

Explanation

7 + 5 = 12 exceeds the 4-bit range of -8 to +7; the result 1100 is read as -4, and overflow is signalled because two positive numbers gave a negative result.

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