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

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

we can expand and simplify it

step-1: Distribute complement

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

step-2: Simplification

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

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

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