Which of the following is the Boolean function for carry (C) of the half-adder…

2022

Which of the following is the Boolean function for carry (C) of the half-adder with inputs x and y?

  1. A.

    C = x + y

  2. B.

    C = xy

  3. C.

    C = xy'

  4. D.

    C = x⊕y

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Show answer & explanation

Correct answer: B

For a half-adder, the carry output C represents whether both inputs are high. This corresponds to the logical AND operation between x and y, expressed as C = xy.

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