Exam-style question
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Which circuit correctly implements the Boolean expression F = A·B + C'?.
- A.AND gate for A and B feeding an OR gate with input C (no inversion).
- B.AND gate for A and B feeding an OR gate with input C inverted.
- C.OR gate for A and B feeding an AND 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
- AND gate for A and B feeding an OR gate with input C inverted.
Explanation
Why this works
Formula/rule: Boolean expression decomposition. Substitution: F = A·B + C'.
Working: Implement A·B with an AND gate, C' with an inverter, then combine the two outputs with an OR gate. Answer: AND gate for A and B feeding an OR gate with input C inverted.
Conclusion: This circuit correctly implements the given Boolean expression.
Common mistake
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