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According to the Principle of duality, the Boolean equation will be equivalent to:
According to the Principle of duality, the Boolean equation
$(A + B') \cdot (A + 1) = A + B'$ will be equivalent to:
- (a)$(A' + B) \cdot (A' + 1) = A' + B$
- (b)$(A \cdot B') + (A \cdot 0) = A \cdot B'$
- (c)$(A' \cdot B) + (A' \cdot 1) = A' \cdot B$
- (d)$(A' \cdot B) + (A' \cdot 0) = A' \cdot B$
Answer
Answer
AICorrect option: (b)
Answer: (b) $(A \cdot B') + (A \cdot 0) = A \cdot B'$
Applying the Principle of Duality: interchange every $+$ with $\cdot$, and every $1$ with $0$ (variables and complements stay unchanged). $(A+B')\cdot(A+1)=A+B'$ becomes $(A\cdot B')+(A\cdot 0)=A\cdot B'$.
From ISC 2024 Computer Science Paper 1, question 1(i).