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Let the output of the OR gate be $$X$$. $$X = a + b$$ (OR operation)
$$Y = X \cdot c$$ (AND operation)
$$Y = (a + b) \cdot c$$
Option A: $$(0 + 0) \cdot 1 = 0 \cdot 1 = 0$$
Option B: $$(1 + 0) \cdot 0 = 1 \cdot 0 = 0$$
Option C: $$(1+0) \cdot1 = 1 \cdot 1 = 1$$
Option D: $$(0 + 1) \cdot 0 = 1 \cdot 0 = 0$$
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