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21 January, 17:39

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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  1. 21 January, 17:49
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    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
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