Q. The diagram of a logic circuit is given below.

The output $F$ of the circuit is given by

A) $W \bullet (X + Y)$
B) $W \bullet (X \bullet Y)$
C) $W + (X \bullet Y)$
D) $W + (X + Y)$
Explanation

(c) $\ \ Y = \overline{AB} + \overline{BA}\ $
$\left. \ \begin{array}{r}
A = 0\ B = 0 \\
\overline{A} = 1\ \overline{B} = 1
\end{array} \right\rbrack Y = 0$
$\left. \ \begin{array}{r}
A = 0\ B = 1 \\
\overline{A} = 1\ \overline{B} = 0
\end{array} \right\rbrack Y = 1$
$\left. \ \begin{array}{r}
A = 1\ B = 0 \\
\overline{A} = 0\ \overline{B} = 1
\end{array} \right\rbrack Y = 1$
$\left. \ \begin{array}{r}
A = 1\ B = 1 \\
\overline{A} = 0\ \overline{B} = 0
\end{array} \right\rbrack Y = 0$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.