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## Homework Statement

I'm trying to understand an example in the book. They're simplifying the following expression:

[tex]

S=z \oplus (x \oplus y)[/tex]

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

I don't get how they go to this from the above

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

[tex]=xy'z'+x'yz'+xyz+x'y'z[/tex]

## Homework Equations

DeMorgan law: (x+y)' = x'y'

## The Attempt at a Solution

By DeMorgan's law, negating that last term should give z(z'y'*xy)

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