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