What is the dual of the Boolean expression $A \cdot B + C = (A + C) \cdot (B + C)$?

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 2: Minimization Techniques

Options:

1. Option A: $(A + B) \cdot C = A \cdot C + B \cdot C$
2. Option B: $A + B \cdot C = (A \cdot C) + (B \cdot C)$
3. Option C: $(A + B) \cdot C = (A \cdot C) \cdot (B \cdot C)$
4. Option D: $A' + B' \cdot C' = (A' \cdot C') + (B' \cdot C')$

Correct Answer:

Option A: $(A + B) \cdot C = A \cdot C + B \cdot C$

Explanation:

Replace all $\cdot$ with $+$ and all $+$ with $\cdot$. Keep variables the same: $(A + B) \cdot C = A \cdot C + B \cdot C$.