i have my project to be pass very soon and i have this equation Y=A'B'C'D'+A'B'C'D+A'B'CD+A'BC'D+A'BCD'+AB'C'D'+AB'CD'+ABC'D'+ABCD';
Then i have tried to group them in according to there most common terms as possible, then leads me to Y=A'B'C'(D'+D)+A'B'CD+A'B(C'D+CD')+B'D'(AC'+AC)+ABD'(C'+C);
after that, i tried to simplify all in parentheses such as D'+D=1,AC'+AC=A,C'+C=1. But then i have some problem with one of the equation which was in the parenthesis like A'B(C'D+CD') in the equation above...how will i then simplify that? can i ask some suggestions on how will i gruop my unsimplified to make it easier to simplify? or is A'B(C'D+CD')=?, can it be simplified? or is it =1 or =0? Well, i have this software tells me that according to my unsimplified equation, its minimized form should be like this Y=AD'+A'B'D+A'C'D+BCD'+B'C'D'; how will i come up with this? please i realyy need help..i want to pass this subject...

 

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ooops...im sorry, i just thougth that if i post my question twice with a different tilte, it would be much easier for me to find some one who can answer my question...thanks

 

A'B(C'D+CD'), can't be simplified in my opinion.

since (C'D + CD') is a XOR gate

CD F
00 0
01 1
10 1
11 0

 

http://physicsarchives.com/index.php/courses/121

Scroll down and look closely at the section called SIMPLIFICATION OF SOP TERMS