Identify the logic gate represented by the gi | vedclass

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(A) The circuit consists of two $NAND$ gates. The top $NAND$ gate has inputs $A$ and $A$ (implied by the connection), but looking at the diagram, the

Vedclass · Accepted Answer

$OR$

Vedclass · Answer

(A) The circuit consists of two $NAND$ gates. The top $NAND$ gate has inputs $A$ and $A$ (implied by the connection), but looking at the diagram, the top gate has input $A$ and the bottom gate has input $B$. Wait, let's re-examine the diagram: The top gate has input $A$ (connected to both terminals), acting as a $NOT$ gate. The bottom gate has input $B$ (connected to both terminals), also acting as a $NOT$ gate. The outputs of these two $NOT$ gates are fed into a third $NAND$ gate.Let the output of the top $NAND$ gate be $Y_1 = \overline{A \cdot A} = \overline{A}$.Let the output of the bottom $NAND$ gate be $Y_2 = \overline{B \cdot B} = \overline{B}$.The final output $C$ is the $NAND$ of $Y_1$ and $Y_2$:$C = \overline{Y_1 \cdot Y_2} = \overline{\overline{A} \cdot \overline{B}}$.Using De Morgan's theorem, $\overline{\overline{A} \cdot \overline{B}} = \overline{\overline{A}} + \overline{\overline{B}} = A + B$.Thus, the circuit represents an $OR$ gate.

$A$	$B$	$C$
$0$	$0$	$0$
$0$	$1$	$0$
$1$	$0$	$1$
$1$	$1$	$0$

Identify the logic gate represented by the given circuit.

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