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(D) $NAND$ gate is a combination of an $AND$ gate followed by a $NOT$ gate.First,the $AND$ operation is performed on inputs $A$ and $B$,which results

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$Y=\overline{A \cdot B}$

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(D) $NAND$ gate is a combination of an $AND$ gate followed by a $NOT$ gate.First,the $AND$ operation is performed on inputs $A$ and $B$,which results in $A \cdot B$.Then,the $NOT$ operation is applied to this result,which inverts the output.Therefore,the output $Y$ of a $NAND$ gate is given by the Boolean expression $Y = \overline{A \cdot B}$.

In the case of a $NAND$ gate,if $A$ and $B$ are the inputs and $Y$ is the output,then:

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