The following figure shows two logic circuits | vedclass

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(A) In the first circuit,two $NAND$ gates are connected such that the second gate acts as a $NOT$ gate (since its inputs are shorted). The output of t

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$AND, OR$

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(A) In the first circuit,two $NAND$ gates are connected such that the second gate acts as a $NOT$ gate (since its inputs are shorted). The output of the first $NAND$ gate is $\overline{A \cdot B}$. Passing this through a $NOT$ gate gives $Y = \overline{\overline{A \cdot B}} = A \cdot B$,which is the $AND$ operation.In the second circuit,there are three $NAND$ gates. The inputs $A$ and $B$ are passed through $NAND$ gates acting as $NOT$ gates,resulting in $\overline{A}$ and $\overline{B}$. These are then fed into a third $NAND$ gate. The output is $Y = \overline{\overline{A} \cdot \overline{B}}$. By De Morgan's Law,$Y = \overline{\overline{A}} + \overline{\overline{B}} = A + B$,which is the $OR$ operation.Therefore,the circuits represent $AND$ and $OR$ operations respectively.

The following figure shows two logic circuits. Which logic operations do these circuits represent,respectively?

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