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The complement of the Boolean expression is:
The complement of the Boolean expression $(A \cdot B') + (B' \cdot C)$ is:
- (a)$(A + B') \cdot (B' + C)$
- (b)$(A' \cdot B) + (B \cdot C')$
- (c)$(A' + B) \cdot (B + C')$
- (d)$(A \cdot B') + (B \cdot C')$
Answer
Answer
AICorrect option: (c)
Answer: (c) $(A' + B) \cdot (B + C')$
By De Morgan's law, the complement of $(A \cdot B') + (B' \cdot C)$ is $(A \cdot B')' \cdot (B' \cdot C)' = (A' + B) \cdot (B + C')$.
From ISC 2025 Computer Science Paper 1, question 1(i).