The Boolean expression x+x′y equals ______.

2023

The Boolean expression x+x′y equals ______.

  1. A.

    x + y

  2. B.

    x + xy

  3. C.

    y + yx

  4. D.

    More than one of the above

  5. E.

    None of the above

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Show answer & explanation

Correct answer: A

To simplify the Boolean expression x + x′y, we use the distributive law: x + x′y = (x + x′)(x + y) Since x + x′ = 1, the expression becomes: 1 × (x + y) = x + y Thus, the simplified form is x + y.

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