Question

Consider the circuit shown in the figure below:

If the three bit input to the circuit is $\left(X_2{X}_1{X}_0\right)=101$, then the decimal equivalent of the corresponding output of the circuit $\left(Y_2{Y}_1{Y}_0\right)$ will be equal to ____

• A. 3

Answer 1

The correct option is A 3
From the figure, we can conclude that,
$Y_0=X_0\odot X_0$
$Y_1=X_1\oplus X_0$
$Y_2=X_2\oplus X_0$
$\text{Now, for given input,}{X}_2=1,X_1=0,X_0=1$
$Y_0=1$
$Y_1=1$
$Y_2=0$
$So,\left(Y_2{Y}_1{Y}_0\right)=(011{)}_2=(3{)}_{10}$