Which of the following Boolean expression correctly represents the given logic…

2022

Which of the following Boolean expression correctly represents the given logic circuit diagram?

Answer: B. A · B + C′ — Explanation (English): Inputs A and B go to an AND gate, producing A·B. Input C passes through a NOT gate, producing C′. Both outputs are combined using an OR…

1. A.

   (A + B) · C′

2. B.

   A · B + C′

3. C.

   A · C′ + B · C′

4. D.

   (A + B)′ · C

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Correct answer: B

Explanation (English): Inputs A and B go to an AND gate, producing A·B. Input C passes through a NOT gate, producing C′. Both outputs are combined using an OR gate, giving A·B + C′.