Exam-style question
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Which of the following circuits implements the Boolean expression F = (A + B)·C'?.
- A.OR gate for A and B feeding an AND gate with input C inverted.
- B.OR gate for A and B feeding an AND gate with input C.
- C.AND gate for A and B feeding an OR gate with input C inverted.
- D.NAND gate for A and B feeding an OR gate with input C inverted.
Model answer
What a good answer should say
- OR gate for A and B feeding an AND gate with input C inverted.
Explanation
Why this works
Formula/rule: Boolean expression decomposition. Substitution: F = (A + B)·C'.
Working: OR gate for A and B, inverter for C, AND gate combine the two outputs. Answer: OR gate for A and B feeding an AND gate with input C inverted.
Conclusion: This circuit correctly implements the given Boolean expression.
Common mistake
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