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(C) Let us analyze the output for each gate with the given inputs:$(A)$ For an $AND$ gate,the output $Y = A \cdot B$. With inputs $1$ and $0$,$Y = 1 \

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(C) Let us analyze the output for each gate with the given inputs:$(A)$ For an $AND$ gate,the output $Y = A \cdot B$. With inputs $1$ and $0$,$Y = 1 \cdot 0 = 0$.$(B)$ For a $NOR$ gate,the output $Y = \overline{A + B}$. With inputs $0$ and $1$,$Y = \overline{0 + 1} = \overline{1} = 0$.$(C)$ For a $NAND$ gate,the output $Y = \overline{A \cdot B}$. With inputs $0$ and $1$,$Y = \overline{0 \cdot 1} = \overline{0} = 1$.$(D)$ For an $XNOR$ gate,the output $Y = A \odot B$ (or $\overline{A \oplus B}$). With inputs $0$ and $1$,$Y = \overline{0 \oplus 1} = \overline{1} = 0$.Thus,the $NAND$ gate produces an output of $1$.

Which of the following logic gates will have an output of $1$?

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