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
- A0 , 1 , 0 , 1
- B0 , 0 , 1 , 1
- C1 , 1 , 1 , 0
- 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