Question:
In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'.
The value of x is ____________.
In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'.
The value of x is ____________.
The value of x is ____________.
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Trace the signals: the upper gate is a NOR with inputs A and B, the lower gate is a NAND with inputs \(\bar A\) and \(\bar B\), and the final gate is an AND.
Updated On: Nov 4, 2026
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Correct Answer: 0
Solution and Explanation
With A = 0 and B = 1:
The upper NOR gate receives A directly and B through two NOT gates in series (\(\overline{\overline{B}} = B\)). Its output is \(\overline{A+B} = \overline{0+1} = 0\).
The lower NAND gate receives \(\bar A = 1\) and \(\bar B = 0\). Its output is \(\overline{1\cdot0} = 1\).
The final AND gate gives \(Y = 0\cdot1 = 0\).
So \(x = 0\).
Answer: 0
The upper NOR gate receives A directly and B through two NOT gates in series (\(\overline{\overline{B}} = B\)). Its output is \(\overline{A+B} = \overline{0+1} = 0\).
The lower NAND gate receives \(\bar A = 1\) and \(\bar B = 0\). Its output is \(\overline{1\cdot0} = 1\).
The final AND gate gives \(Y = 0\cdot1 = 0\).
So \(x = 0\).
Answer: 0
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