Need help with Boolean Algebra pt.2

[prentila]

Hey guys, I'm trying to study Boolean Algebra as an advanced study for my 2nd-semester subject. I'm currently trying to simplify (X'+Y') (X'+Y) (X' + X) using Boolean Identities. Here is my initial answer;

(X'+Y') (X'+Y) (X' + X)
(X'+Y') (X' + Y) (1)
(X' + Y') (X' + Y)
(XX)' + X'Y + (YX)' + Y'Y
X'(1 + Y) +(Y' + X') + 0
X' (1) + Y' + X'
X' + X' + Y'
X' + Y' or (XY)'

I just need someone to tell me if my answer's correct or not. If not, please teach me.

 

[Dr.Peterson]

I think you've already been told that X' X' is not the same as (XX)'. (You asked this same question in two threads, which is not good.)

Please respond, so we know what you need to be taught, and what you just need to be more careful with.

What you may need to do is to state the reason for every step, which will force you to learn what is valid and what is not. These aren't the same as numbers, though some things behave similarly, so you have to guard against just doing what feels right. You don't yet have that "feel".