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The complement of the Boolean expression is:
The complement of the Boolean expression $(P + Q') \cdot (R' + P)$ is:
- (a)$(P \cdot Q') + (R' \cdot P)$
- (b)$(P' \cdot Q) + (R \cdot P')$
- (c)$(P' \cdot Q) \cdot (R \cdot P')$
- (d)$(P + Q') \cdot (R' + P)$
Answer
Answer
AICorrect option: (b)
Answer: (b) (P'.Q) + (R.P')
Complement of (P + Q').(R' + P) = (P + Q')' + (R' + P)' [De Morgan's law], applying De Morgan again inside each bracket = (P'.Q) + (R.P').
From ISC 2025 Improvement Computer Science Paper 1, question 1(i).