Question:
A system of four gates is set up as shown. The 'truth table' corresponding to this system is : 
A system of four gates is set up as shown. The 'truth table' corresponding to this system is :
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Identify every gate as NOR (OR shape with a bubble), write the output of each stage, and evaluate for all four input combinations.
Updated On: Oct 31, 2026
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The Correct Option is A
Solution and Explanation
From the figure all four gates are NOR gates. Gate 1 takes A and B: \(X=\overline{A+B}\). Gate 2 takes A and X: \(T=\overline{A+X}\). Gate 3 takes X and B: \(U=\overline{X+B}\). Gate 4 takes T and U: \(Y=\overline{T+U}\).
A=0, B=0: X=1, T=0, U=0, Y=1.
A=0, B=1: X=0, T=1, U=0, Y=0.
A=1, B=0: X=0, T=0, U=1, Y=0.
A=1, B=1: X=0, T=0, U=0, Y=1.
So Y = 1, 0, 0, 1 for (00, 01, 10, 11): this is the XNOR function, the table in option (1).
Answer: (1) Table with Y = 1, 0, 0, 1 (rows 00, 01, 10, 11)
A=0, B=0: X=1, T=0, U=0, Y=1.
A=0, B=1: X=0, T=1, U=0, Y=0.
A=1, B=0: X=0, T=0, U=1, Y=0.
A=1, B=1: X=0, T=0, U=0, Y=1.
So Y = 1, 0, 0, 1 for (00, 01, 10, 11): this is the XNOR function, the table in option (1).
Answer: (1) Table with Y = 1, 0, 0, 1 (rows 00, 01, 10, 11)
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