Question 91

Computer Awareness Number representations Easy

With 4-bit 2's complement arithmetic, which of the following addition will result in overflow?

(A) 1111+1101
(B) 0110+0110
(C) 1101+0101
(D) 0101+1011
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

4-bit 2's complement range: −8 to +7. Overflow happens when two numbers of the same sign give a result of the opposite sign.

  • (A) 1111 + 1101 = (−1) + (−3) = −4 → 1100. No overflow.
  • (B) 0110 + 0110 = 6 + 6 = 12 → 1100, which reads as −4. Overflow.
  • (C) 1101 + 0101 = −3 + 5 = 2. No overflow (signs differ).
  • (D) 0101 + 1011 = 5 + (−5) = 0. No overflow.

Answer: (B)

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