What is equivalent of the following Boolean expression? (X+Y)'

2021

What is equivalent of the following Boolean expression?

(X+Y)'

Answer: C. X'Y' — According to De Morgan's Law, the complement of a sum is equal to the product of the complements. Therefore: $$(X+Y)' = X' \cdot Y'$$

  1. A.

    X'+Y'

  2. B.

    XY

  3. C.

    X'Y'

  4. D.

    X

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Correct answer: C

According to De Morgan's Law, the complement of a sum is equal to the product of the complements. Therefore:

$$(X+Y)' = X' \cdot Y'$$

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