Question:

For a half adder, the Sum and Carry outputs are respectively

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Half adder outputs are \(S=A\oplus B\) and \(C=AB\).
Updated On: May 27, 2026
  • \(A+B,\ AB\)
  • \(A\oplus B,\ AB\)
  • \(AB,\ A+B\)
  • \(A\oplus B,\ A+B\)
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The Correct Option is B

Solution and Explanation

Concept: A half adder adds two binary bits and produces two outputs: Sum and Carry.

Step 1:
The Sum output is \(1\) when inputs are different. This is XOR operation: \[ S=A\oplus B \]

Step 2:
The Carry output is \(1\) only when both inputs are \(1\). This is AND operation: \[ C=AB \] Therefore: \[ \boxed{A\oplus B,\ AB} \]
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