Thread: Can Anyone Figure Out This Problem(Greatly Appreciated!!)

This is Boolean Algebra. I have to prove that these two sides are equivalent without using a truth table(I already did that.).

(x'^y'^z)v(x^y'^z)v(x^y^z)=(x^z)v(y'^z)

I am using (^) as "and" and (v) as "or"

PLEASE Help me

By the way, I have to make the left side equivalent to the right side...

Originally Posted by rkn0720

This is Boolean Algebra. I have to prove that these two sides are equivalent without using a truth table(I already did that.).

(x'^y'^z)v(x^y'^z)v(x^y^z)=(x^z)v(y'^z)

I am using (^) as "and" and (v) as "or"

PLEASE Help me

There may be a shorter way, but I would use the distributive property. I.e., .

See where that gets you.