(A + B)(AB)’ is equivalent to

2011

(A + B)(AB)’ is equivalent to

  1. A.

    A ⊕ B

  2. B.

    A ∪ B

  3. C.

    (A ⊕ B) ∪ A

  4. D.

    (A ∪ B) ⊕ A

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Show answer & explanation

Correct answer: A

(A + B)(AB)’ = (A + B)(A’ + B’)

Using Boolean algebra:
(A + B)(A’ + B’) = AA’ + AB’ + BA’ + BB’
= AB’ + A’B

AB’ + A’B = A ⊕ B

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