What is the output expression for the circuit shown above?
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Correct Answer: Option D
Explanation:
Trace the logic from left to right. Input A goes through a NOT gate, which inverts it to \(\overline{A}\). The top AND gate multiplies this inverted signal with B, giving the term \(\overline{A}B\). The bottom AND gate multiplies B and C directly, giving the term \(BC\). Finally, the OR gate adds both of these terms together, which results in the final output expression of \(\overline{A}B + BC\).
Trace the logic from left to right. Input A goes through a NOT gate, which inverts it to \(\overline{A}\). The top AND gate multiplies this inverted signal with B, giving the term \(\overline{A}B\). The bottom AND gate multiplies B and C directly, giving the term \(BC\). Finally, the OR gate adds both of these terms together, which results in the final output expression of \(\overline{A}B + BC\).