# How to simplify boolean expression? [closed]

I am having trouble simplifying logical expressions to a much simpler form, can someone provide me some insight on how to approach the problem?

Let's assume i have the following expression: $ABCD + A\bar{B}CD$.

I am aware of the De Morgan's law, but not sure how to apply them in this case.

Thank you!

• Define "simpler form"... what is "simple" usually depends quite a bit on intended use, and moreover has strong "taste" components... – vonbrand Dec 19 '15 at 3:30

In the case you've given, $ABCD+A\bar{B}CD= ACD(B+\bar{B}) = ACD$.
Starting with an expression in canonical normal form, you can simplify it by applying normal algebraic methods ABCD + ABbarCD = ABCD(1 + bar) = ABCD or in less obvious cases using a Karnaugh map.