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Choose the correct option.
The complement of the expression:
- (i)$P'R' + (P' + Q') \cdot (Q' + R)$
- (ii)$(P' + R') \cdot (P' + Q') + (Q + R')$
- (iii)$P'R' \cdot (PQ' + Q'R)$
- (iv)$(P + R)' \cdot (P' + Q) \cdot (Q' + R)$
Show the case
Given the Boolean expression $F = (P + R) \cdot (P \cdot Q + Q \cdot R')$, identify:
Answer
Answer
AICorrect option: (i)
Answer: (i) $P'R' + (P' + Q') \cdot (Q' + R)$
By De Morgan's law, $F' = (P+R)' + (PQ + QR')' = P'R' + (P'+Q')(Q'+R)$.
From ISC 2022 Computer Science - Specimen paper (Semester 1), Paper 1, question 25(a).
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