In the given circuit,the output Y becomes zer | vedclass

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

Question

(A) The circuit consists of an $AND$ gate with inputs $A$ and $B$,followed by a $NAND$ gate. The input $C$ passes through a $NOT$ gate before entering

Vedclass · Accepted Answer

$A = 1, B = 1, C = 0$

Vedclass · Answer

(A) The circuit consists of an $AND$ gate with inputs $A$ and $B$,followed by a $NAND$ gate. The input $C$ passes through a $NOT$ gate before entering the $NAND$ gate.Let the output of the $AND$ gate be $X = A \cdot B$.The input $C$ passes through a $NOT$ gate,so its output is $\bar{C}$.The final output $Y$ is the output of the $NAND$ gate with inputs $X$ and $\bar{C}$,which is $Y = \overline{X \cdot \bar{C}} = \overline{(A \cdot B) \cdot \bar{C}}$.For the output $Y$ to be zero,the expression $(A \cdot B) \cdot \bar{C}$ must be $1$.This requires $A \cdot B = 1$ and $\bar{C} = 1$.$A \cdot B = 1$ implies $A = 1$ and $B = 1$.$\bar{C} = 1$ implies $C = 0$.Therefore,the inputs are $A = 1, B = 1, C = 0$.

In the given circuit,the output $Y$ becomes zero for the inputs

Similar Questions

Identify the logic operation carried out by the given circuit :-

Two logic gates are connected as shown in the figure. If the inputs are $A=1$ and $B=0$, then the values of $y_1$ and $y_2$ respectively are

Consider the logic circuit with inputs $A, B, C$ and output $Y$. How many combinations of $A, B$ and $C$ give the output $Y=0$?

For which of the following logic gates is the output $1$?

In the truth table of the given circuit,the values of $X$ and $Y$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module