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The complement of the Boolean expression is:
The complement of the Boolean expression $(P' \cdot Q) + (R \cdot S')$ is:
- (a)$(P' + Q) \cdot (R' + S)$
- (b)$(P + Q') \cdot (R' + S)$
- (c)$(P' + Q) \cdot (R + S')$
- (d)$(P + Q') \cdot (R + S')$
Answer
Answer
AICorrect option: (b)
Answer: (b) $(P + Q') \cdot (R' + S)$
By De Morgan's laws: $[(P' \cdot Q) + (R \cdot S')]' = (P' \cdot Q)' \cdot (R \cdot S')' = (P+Q')\cdot(R'+S)$.
From ISC 2024 Computer Science Paper 1, question 1(v).