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MHT CET202617 April 2026Evening ShiftPhysicsSemiconductorsActual

In the following digital circuit, the output 'Y' will be '1' (one) for inputs 'A' and 'B' having values

Options

  1. AA = 0 , B = 0
  2. BA = 0 , B = 1
  3. CA = 1 , B = 0
  4. DA = 1 , B = 1

Correct answer

D. A = 1 , B = 1

Step-by-step solution

The Boolean expression for the output Y can be determined from the logic circuit. The top gate is a NAND gate with inputs A and B . Its output is Y₁ = A B . The middle gate is a NOT gate with input A . Its output is A . The bottom gate is a NOR gate with inputs A and B . Its output is Y₂ = A + B . The final gate is a NOR gate with inputs Y₁ and Y₂ . Its output is Y = Y₁ + Y₂ . Substituting the expressions for Y₁ and Y₂ into the final output equation: Y = A B + A + B Using De Morgan's laws, the expression simplifies

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