The diagram of a logic circuit is given below. The output A of the circuit is represented by

Question

The diagram of a logic circuit is given below. The output A of the circuit is represented by, P + R · Q, P ⋅ ( R ⋅ Q ), P · R + Q, P + ( R + Q )

MARKS App · Accepted Answer

Output of upper OR gate = P + R Output of lower OR gate = P + Q ∴ Net output A = P + R . P + Q = P . P + P . Q + R . P + R . Q = P . 1 + Q + R . P + R . Q ∵ 1 + Q = 1 a n d P . P = P ∴ A = P + R ⋅ P + R . Q = P 1 + R + R ⋅ Q = P + R ⋅ Q

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