The Boolean expression x + xy will be equal to:

2023

The Boolean expression x + xy will be equal to:

  1. A.

    x

  2. B.

    y

  3. C.

    x+y

  4. D.

    More than one of the above

  5. E.

    None of the above

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Show answer & explanation

Correct answer: A

  • The identity x + xy = x is the absorption law.

  • One way to prove it is: x + xy = x(1 + y) = x · 1 = x.

  • Since 1 + y = 1, the expression simplifies to x.

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