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The canonical expression of is:
The canonical expression of $F( P, Q, R) = \pi (2, 5, 7)$ is:
- (a)$(P + Q' + R) \cdot (P' + Q + R') \cdot (P' + Q' + R')$
- (b)$(P \cdot Q' \cdot R) + (P' \cdot Q \cdot R') + (P' \cdot Q' \cdot R')$
- (c)$(P' + Q + R') \cdot (P + Q' + R) \cdot (P + Q + R)$
- (d)$(P' \cdot Q \cdot R') + (P \cdot Q' \cdot R) + (P \cdot Q \cdot R)$
Answer
Answer
AICorrect option: (a)
Answer: (a) $(P + Q' + R) \cdot (P' + Q + R') \cdot (P' + Q' + R')$
For $\pi(2,5,7)$: maxterm 2 (010) gives $(P+Q'+R)$, maxterm 5 (101) gives $(P'+Q+R')$, maxterm 7 (111) gives $(P'+Q'+R')$.
From ISC 2025 Computer Science Paper 1, question 1(vii).