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

Mathematics

Viviana Davila

1 June, 13:10

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?

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Answers (1)

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Foley · 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