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

Options

  1. AP + R · Q
  2. BP ⋅ ( R ⋅ Q )
  3. CP · R + Q
  4. DP + ( R + Q )

Correct answer

A. P + R · Q

Step-by-step solution

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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