Question:

In the following digital circuit, what will be the output at 'Z', when the input (A, B) are (1, 0), (0, 0), (1, 1), (0, 1)

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Identify the gates: a NAND and an OR both fed by A and B, an AND combining their outputs (this gives XOR), and a final NOR fed by the NAND output and the AND output.
Updated On: Nov 5, 2026
  • 1, 1, 0, 1
  • 0, 1, 0, 0
  • 1, 0, 1, 1
  • 0, 0, 1, 0
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The Correct Option is D

Solution and Explanation

Reading the circuit: gate 1 = NAND(A, B); gate 2 = OR(A, B); gate 3 = AND(gate 1, gate 2), which is XOR(A, B); the final gate is NOR with inputs gate 1 and gate 3. So \(Z = \overline{\overline{AB} + (A\oplus B)}\).
(A,B) = (1,0): NAND = 1, XOR = 1, Z = NOR(1,1) = 0.
(0,0): NAND = 1, XOR = 0, Z = NOR(1,0) = 0.
(1,1): NAND = 0, XOR = 0, Z = NOR(0,0) = 1.
(0,1): NAND = 1, XOR = 1, Z = NOR(1,1) = 0.
Output sequence: 0, 0, 1, 0.
Answer: (4) 0, 0, 1, 0
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