Question

The diagram of a logic circuit is given below, the output 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 B W+(X.Y)

Given that $W$ and $X$ are inputs of OR gate , so the output will be $W+X$

Given that $W$ and $Y$ are inputs of OR gate , so the output will be $W+Y$

Now $W+X$ and $W+Y$ are inputs for AND gate , so the out put $F=(W+X)(W+Y)=W(1+X+Y)+XY=W+XY$

Therefore the correct option is $B$