# Thread: More Simplifying Boolean Expressions

1. ## More Simplifying Boolean Expressions

Ok, so here's the story on this. My teacher was going over Boolean expressions in class, and she couldn't figure out how to simplify this expression. She came up with two different ways and then asked us for help. lol I found this kind of funny. Anyway we have to simplify the expression, and pick which law we used on each step from a list that I posted HERE.

Here was the first statement. I belief to be true.

Given =$\displaystyle \overline{A}B\overline{C}D+\overline{AC}$

#19 =$\displaystyle \overline{A}B\overline{C}D+\overline{A}+\overline{ C}$

#14 =$\displaystyle \overline{A}(B\overline{C}D+1)+\overline{C}$

#2 =$\displaystyle \overline{A}(1)+\overline{C}$

#4 =$\displaystyle \overline{A}+\overline{C}$

I feel this one is correct, because I proved it in the truth table. Is this correct, and is there any missing steps with this statement?

Thanks for the help, Jarod.

2. ## Re: More Simplifying Boolean Expressions

looks good to me

3. ## Re: More Simplifying Boolean Expressions

Dynamite, thanks.

4. ## Re: More Simplifying Boolean Expressions

You could also use rule #18 after the first step.

5. ## Re: More Simplifying Boolean Expressions

emakarov, that's funny you say that. That's what I said in class. She didn't know what I was getting at. I need to add though, I'm still pretty bad at simplifying these. Thanks for reaffirming that for me, I would have felt I was wrong, and that helped.