Proof of x + x'.y = x + y Using Boolean Algebra

[Her-0]

I was wondering how you can prove using Boolean algebra, x + x'.y = x + y


I know we must manipulate either side of the equation but I'm just not sure how I can.
Can anyone offer me some help.

 

[wildman]

See:

http://www.ee.surrey.ac.uk/Projects/Labview/boolalgebra/#commutativelaw

Take a good long look at T3 and T9

 

[elimenohpee]

You can use the distributive law to expand the expression to this:

X + X'Y = (X + Y)(X + X')

Then see that (X + X') = 1 which simplifies to what you have.

(X + Y)

Hope that helps.

 

[Nick Bruno]

whats boolean algebra? XD