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?

Question

Grade: Education Subject: mathematics

Asked by: USER2542

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USER4341

Best Answer

(433)

we are given

[tex]f(x,y,z) = (x + y')' z + (xz)' + y[/tex]

we can expand and simplify it

step-1: Distribute complement

[tex]f(x,y,z) = (x)'(y')'z + x'+z' + y[/tex]

step-2: Simplification

[tex]f(x,y,z) = x'yz + x'+z' + y[/tex]

[tex]f(x,y,z) = x'(yz + 1)+z' + y[/tex]

[tex]f(x,y,z) = x'+z'+y[/tex]..................Answer

Answered on 30 Agustus 2025