Can XOR Gates Substitute OR Gates in Boolean Expressions?

[jeffy]

Homework Statement

i have the equation x(y+z)=f some how it becomes x(z xor y xor zy)

Homework Equations

The Attempt at a Solution

xy+xz
xy(z+NOTz)+x(y+NOTy)z
x(yz+(y XOR z))


Thanks

 

[NascentOxygen]

Homework Statement

i have the equation x(y+z)=f some how it becomes x(z xor y xor zy)

You are wanting to show that y+z = z ⨂ y ⨂ zy ?

I suggest that you first draw up a truth table to demonstrate that it holds true, before trying to prove it algebraically.