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The complement of the Boolean expression is:
The complement of the Boolean expression $(X \cdot Y)' + Z'$ is:
- (a)$(X + Y) \cdot Z$
- (b)$X \cdot Y \cdot Z$
- (c)$(X' + Y') \cdot Z'$
- (d)$(X' + Y') \cdot Z$
Answer
Answer
AICorrect option: (b)
Answer: (b) $X \cdot Y \cdot Z$
By De Morgan's Law: $[(X \cdot Y)' + Z']' = [(X \cdot Y)']' \cdot [Z']' = (X \cdot Y) \cdot Z = X \cdot Y \cdot Z$.
From ISC 2024 Specimen Computer Science Paper 1, question 1(iv).