‹ Back to the paper
The complement of the Boolean expression is:
The complement of the Boolean expression $(P \cdot Q)' + R'$ is:
- (a)$(P + Q) \cdot R$
- (b)$PQR$
- (c)$(P' + Q') \cdot R'$
- (d)$(P' + Q') \cdot R$
Answer
Answer
AICorrect option: (b)
Answer: (b) $PQR$
By De Morgan's laws, complementing $(P\cdot Q)'+R'$ gives $[(P\cdot Q)']' \cdot [R']' = (P\cdot Q)\cdot R = PQR$ (verified with the boolean tool).
From ISC 2023 Specimen Computer Science Paper 1, question 1(iii).