Which of the following is equivalent of the Boolean expression given below? A…

2020

Which of the following is equivalent of the Boolean expression given below?

A + Ā.B + A.B̅

Answer: A. A + BThe correct option is A: A + B. Using the redundancy law (A + ĀB = A + B), the first two terms simplify to A + B. Adding the third term gives (A + B) + AB̅.…

  1. A.

    A + B

  2. B.

    A + B̅

  3. C.

    B + Ā

  4. D.

    B̅ + Ā

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Correct answer: A

The correct option is A: A + B. Using the redundancy law (A + ĀB = A + B), the first two terms simplify to A + B. Adding the third term gives (A + B) + AB̅. Applying the distributive law, A(1 + ) + B = A + B.

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