Consider the circuit above. Which one of the following options correctly represents $f\left(x,y,z\right)$
Result of MUX (first one), is,say f1, = xz'+ y'z
Result of MUX(second one , f= f1y' +xy
=(xz'+y'z)y'+xy = xy'z' +y'z +xy =x(y'z' +y) +y'z = x(y'+y)(z'+y) +y'z =xz'+xy+y'z .
1. f =I0S' +I1S ,for 2:1 MUX , where I0 and I1 are inputs , S is select line
2. Distributive property , A+BC = (A+B)(A+C)
3. A+A' =1