What is the output Y in the following circuit | vedclass

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(D) The circuit consists of an $AND$ gate $P$ followed by a $NAND$ gate $Q$.Let the output of the $AND$ gate $P$ be $X = A \cdot B$.The final output $

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$1,0$

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(D) The circuit consists of an $AND$ gate $P$ followed by a $NAND$ gate $Q$.Let the output of the $AND$ gate $P$ be $X = A \cdot B$.The final output $Y$ of the $NAND$ gate $Q$ is given by $Y = \overline{X \cdot C} = \overline{(A \cdot B) \cdot C} = \overline{A \cdot B \cdot C}$.Case $1$: When $A = B = C = 0$,the output is $Y_0 = \overline{0 \cdot 0 \cdot 0} = \overline{0} = 1$.Case $2$: When $A = B = C = 1$,the output is $Y_1 = \overline{1 \cdot 1 \cdot 1} = \overline{1} = 0$.Thus,the outputs are $1, 0$.

What is the output $Y$ in the following circuit,when all the three inputs $A, B, C$ are first $0$ then $1$?

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