The minimum number of gates required to implement the Boolean expression AB +…

The minimum number of gates required to implement the Boolean expression AB + AB’ + A’C is

Answer: D. 1 OR gateAB + AB’ + A’C = A (B + B’) + A’C = A(1) + A’C = A + A’C = A + C Therefore, One OR gate.

  1. A.

    1 AND and 1 OR gate

  2. B.

    2 NAND gates

  3. C.

    3 AND gates and 2OR gates

  4. D.

    1 OR gate

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Correct answer: D

AB + AB’ + A’C = A (B + B’) + A’C = A(1) + A’C = A + A’C = A + C

Therefore, One OR gate.

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