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JEE Main202131 Aug 2021Morning ShiftPhysicsSemiconductorsActual

In the following logic circuit the sequence of the inputs A , B are ( 0 , 0 ) , ( 0 , 1 ) , ( 1 , 0 ) and ( 1 , 1 ) . The output Y for this sequence will be :

Options

  1. A0 , 1 , 0 , 1
  2. B0 , 0 , 1 , 1
  3. C1 , 1 , 1 , 0
  4. D1 , 0 , 1 , 0

Correct answer

C. 1 , 1 , 1 , 0

Step-by-step solution

Look at the above circuit, the value of P can be found by the idea of AND gate, P = A · B and the value of Q , can be calculated by the idea of OR gate, Q = A + B . Then expression for Y can be taken by the idea of NAND gate, ⇒ Y = P · Q ¯ by the idea of Demorgan's theorem, Y = P ¯ + Q ¯ = A ¯ + B ¯ + A ¯ · B ¯ A B Y = A ¯ + B ¯ + A ¯ · B ¯ 0 0 1 0 1 1 1 0 1 1 1 0

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