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JEE Main20266 April 2026Evening ShiftPhysicsSemiconductorsActual

Refer to the logic circuit given below. For two inputs (A=1, B=1) and (A=0, B=1) , output (Y) will be __________.

Options

  1. A1, 0 respectively
  2. B0, 1 respectively
  3. C0, 0 respectively
  4. D1, 1 respectively

Correct answer

C. 0, 0 respectively

Step-by-step solution

From the given logic circuit, we can determine the Boolean expression for the output Y . The output of the NOT gate is A . The inputs to the OR gate are A and B , so its output is A + B . The inputs to the AND gate are A and B , so its output is A B . These two outputs are fed into a NOR gate. The final output Y is given by: Y = ( A + B) + ( A B) Simplifying the Boolean expression: Y = A + B + A B Y = A + B(1 + A ) Y = A + B Using De Morgan's laws: Y = A B = A B Now, we evaluate Y for the given input combinations:

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