The output F of the logic circuit given below is
 

Options

A. `X+vec(Y).Z`
B. `(Y+Z).X`
C. `(vec(Y)+Z)+X`
D. `X+vec(Y)+Z`

Answer

A

Explanation

Let's name intermediate states as a and b as shown in figure.
Now, `a=bar(Y)`
`b=Za=z bar(y)`
`F=b+X=Z bar(Y)+X`