Question 85

Computer Awareness Number representations Easy

Perform Two's complement addition of two negative numbers \( (11101)_{2} \) and \( (11110)_{2} \)

(A) 00101
(B) 11011
(C) 00000
(D) 11111
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

In 5-bit 2's complement, \(11101_2 = -3\) and \(11110_2 = -2\).

Add them:

  11101
+ 11110
-------
 111011  → drop the final carry → 11011

\(11011_2\) in 2's complement: invert to 00100, add 1 to get 00101 = 5, so the value is −5.

Check: \(-3 + (-2) = -5\). Correct.

Answer: (B) 11011

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