The Boolean expression AB+A'C+BC=____

2021

The Boolean expression AB+A'C+BC=____

Answer: C. AB + A'CTo simplify the Boolean expression AB + A'C + BC, apply the consensus theorem. The consensus theorem states that AB + A'C + BC = AB + A'C, because BC is the…

  1. A.

    AB

  2. B.

    AC + A'B

  3. C.

    AB + A'C

  4. D.

    A'B+A'C

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Correct answer: C

To simplify the Boolean expression AB + A'C + BC, apply the consensus theorem.

The consensus theorem states that AB + A'C + BC = AB + A'C, because BC is the consensus term of AB and A'C and is redundant.

Thus, the simplified expression is AB + A'C.

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