In the given digital circuit if the inputs are $\mathrm{A}=1, \mathrm{~B}=1$ and $\mathrm{C}=1$ then the…
In the given digital circuit if the inputs are $\mathrm{A}=1, \mathrm{~B}=1$ and $\mathrm{C}=1$ then the values of $y_1$ and $y_2$ are respectively
$0,1$
$0,0$
$1,1$
$1,0$
Solution
The value of $Y_1$ is
$\mathrm{Y}_1=\overline{\mathrm{B} \cdot \mathrm{C}}=\overline{\mathrm{B}}+\overline{\mathrm{C}}=\overline{1}+\overline{1}=0+0=0$
The value of $Y_2$ is
$\begin{aligned} & Y_2=\overline{\overline{\mathrm{A}} \cdot \overline{\mathrm{B} \cdot C}}=\overline{\overline{\mathrm{A}}}+\overline{\overline{\mathrm{B} \cdot \mathrm{C}}}=\mathrm{A}+\mathrm{B} \cdot \mathrm{C} \\ & =1+(1 \cdot 0)=1+0=1\end{aligned}$
