The truth table for the circuit given in the | vedclass

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(D) The given circuit consists of an $OR$ gate and a $NAND$ gate. Let the output of the $OR$ gate be $C$. Then $C = A + B$.The inputs to the $NAND$ ga

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$A$$B$$Y$$0$$0$$1$$0$$1$$1$$1$$0$$0$$1$$1$$0$

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(D) The given circuit consists of an $OR$ gate and a $NAND$ gate. Let the output of the $OR$ gate be $C$. Then $C = A + B$.The inputs to the $NAND$ gate are $A$ and $C$. The output $Y$ of the $NAND$ gate is given by $Y = \overline{A \cdot C}$.Substituting $C = A + B$ into the expression for $Y$, we get $Y = \overline{A \cdot (A + B)} = \overline{A \cdot A + A \cdot B} = \overline{A + A \cdot B} = \overline{A(1 + B)} = \overline{A}$.Let us verify this with a truth table:$A$$B$$C = A + B$$A \cdot C$$Y = \overline{A \cdot C}$$0$$0$$0$$0$$1$$0$$1$$1$$0$$1$$1$$0$$1$$1$$0$$1$$1$$1$$1$$0$Comparing this with the given options, the truth table matches option $D$.

The truth table for the circuit given in the figure is

Similar Questions

Logic gates are the building blocks of which system?

Which logic gate is represented by the following truth table?
$A$ $B$ $Y$
$0$ $0$ $0$
$0$ $1$ $1$
$1$ $0$ $1$
$1$ $1$ $1$

In the given figure,$A$ and $B$ are inputs and $C$ is the output of a logic gate circuit. The voltage waveforms of $A$,$B$,and $C$ are shown in the figure. Identify the logic gate.

The real-time variation of input signals $A$ and $B$ are as shown below. If the inputs are fed into a $NAND$ gate,then select the output signal from the following.

The combination of gates shown below yields:

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