According to the Principle of Duality, the Boolean equation will be equivalent to:
According to the Principle of Duality, the Boolean equation
$Q' \cdot 0 + P' \cdot Q' + P' \cdot Q = P'$ will be equivalent to:
- (a)$Q \cdot 0 + P \cdot Q + P \cdot Q' = P$
- (b)$Q' \cdot 1 + P' \cdot Q' + P \cdot Q' = P'$
- (c)$(Q' + 1) \cdot (P' + Q') \cdot (P' + Q) = P'$
- (d)$(Q' + 0) \cdot (P' + Q') \cdot (P' + Q) = P'$
Answer
Answer
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Correct option: (c)
Answer: (c) (Q' + 1) • (P' + Q') • (P' + Q) = P'
According to the Principle of Duality, each AND operator (•) is replaced by OR (+), each OR operator (+) is replaced by AND (•), and each 0 is replaced by 1, leaving the variables/literals unchanged.
From ISC 2026 Computer Science Paper 1, question 1(i).