Question

The diagram of a logic circuit is given below. The output $F$ of the circuit is represented by

• A. $W.(X+Y)$
• B. $W.(X.Y)$
• C. $W+(X.Y)$
• D. $W+(X+Y)$

Answer 1

The correct option is C $W+(X.Y)$

The gates $\left(a\right)$ and $\left(b\right)$ are $OR$ gates whereas $c$ is an $AND$ gate. Boolean symbol for $OR$ and $AND$ gates are ($+$) and ($.$) respectively.

Thus according to the logic circuit, the output of logic gates $\left(a\right)$ and $\left(b\right)$ will be $(W+X)$ and $(W+Y)$ respectively.

Now $F=(W+X).(W+Y)$

$⟹F=W+(X.Y)$ (using Boolean algebra)