Discussion
Which one of the following options is CORRECT for the given logic circuit?
Answer: D
The correct option is P = 0, Q = 0; X = 1.
Both inputs of the NAND gate are tied to P, so it acts as an inverter and outputs \(\overline{P}\). The AND gate outputs \(PQ\). The OR gate combines them:
\[ X = \overline{P} + PQ = \overline{P} + Q \]
Check each option: with P = 0, Q = 0, \(X = 1 + 0 = 1\), as stated. With P = 1, Q = 1, \(X = 0 + 1 = 1\), not 0. With P = 1, Q = 0, \(X = 0 + 0 = 0\), not 1. With P = 0, Q = 1, \(X = 1\), not 0. So only the last option is consistent with the circuit.
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