The truth table for the given logic circuit i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) From the logic circuit,the output $Y$ is given by the $NAND$ gate operation on the outputs of the $NOR$ gate and the $AND$ gate.Let the output of

Vedclass · Accepted Answer

$A$ truth table where $Y=1$ for all inputs $(A, B)$.

Vedclass · Answer

(A) From the logic circuit,the output $Y$ is given by the $NAND$ gate operation on the outputs of the $NOR$ gate and the $AND$ gate.Let the output of the $NOR$ gate be $Y_1 = \overline{A+B}$.Let the output of the $AND$ gate be $Y_2 = A \cdot B$.The final output $Y$ is the $NAND$ of $Y_1$ and $Y_2$:$Y = \overline{Y_1 \cdot Y_2} = \overline{\overline{(A+B)} \cdot (A \cdot B)}$.Using the property $\overline{X} \cdot X = 0$,we analyze the expression:$Y = \overline{(\overline{A} \cdot \overline{B}) \cdot (A \cdot B)}$$Y = \overline{(\overline{A} \cdot A) \cdot (\overline{B} \cdot B)}$Since $\overline{A} \cdot A = 0$ and $\overline{B} \cdot B = 0$,we have:$Y = \overline{0 \cdot 0} = \overline{0} = 1$.Therefore,the output $Y$ is always $1$ for all possible input combinations of $A$ and $B$.

The truth table for the given logic circuit is

Similar Questions

In the digital circuit,the inputs are as shown in the figure. The Boolean expression for output $Y$ is

The circuit given represents which of the logic operations?

The correct truth table for the given logic gate circuit is:

The input and the output waveforms of a logic gate are shown in the diagram. Identify the logic gate.

The logic gate combination circuit shown in the figure performs the logic function of

Vedclass Test Series

Exam Paper Generator

Online Exam Module