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The canonical expression for is:
The canonical expression for $F(x, y, z) = \Sigma(1, 3, 6)$ is:
- (a)$(x \cdot y \cdot z') + (x \cdot y' \cdot z') + (x' \cdot y' \cdot z)$
- (b)$(x + y + z') \cdot (x + y' + z') \cdot (x' + y' + z)$
- (c)$(x' + y' + z) \cdot (x' + y + z) \cdot (x + y + z')$
- (d)$(x' \cdot y' \cdot z) + (x' \cdot y \cdot z) + (x \cdot y \cdot z')$
Answer
Answer
AICorrect option: (d)
Answer: (d) (x'.y'.z) + (x'.y.z) + (x.y.z')
Σ(1,3,6) gives minterms m1 = x'y'z, m3 = x'yz, m6 = xyz', so the canonical SOP is (x'.y'.z) + (x'.y.z) + (x.y.z').
From ISC 2025 Improvement Computer Science Paper 1, question 1(v).