Question

Which is the minimum sop expression for the function f(x,y,z) = (x + y')' z + (xz)' + y ? Partial credit is granted for incomplete simplifications?

Answer 1

we are given

expression as

f(x,y,z) = (x + y')' z + (xz)' + y

we can simplify it

step-1: Distribute complements

f(x,y,z) = x'.(y')' z + (x'+z') + y

f(x,y,z) = x'yz + x'+z'+y

step-2: Combine like terms

f(x,y,z) = x'(yz+1)+z'+y

f(x,y,z) = x'+z'+y ..................Answer