Question

For the given logic gate circuit, to get output as $1$ at $R,$ find the input of $X,$ if input value of $Y$ is zero.

Answer 1

The given circuit can be drawn as shown in the figure given below

Truth table for this given logic gate is
$Giveninputs \\ \begin{matrix}intheoptions & & & & & & \\ X & Y & A_{1} & A_{2} & A_{3} & A_{4} & R \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 0 & 0 & 1 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 \\ 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ & & & & & & \end{matrix}$
So to get output $R=1,$ inputs must be $X=1$ and $Y=0$