# Simply an equation

Discussion in 'Homework Help' started by Kayne, Mar 23, 2009.

1. ### Kayne Thread Starter Active Member

Mar 19, 2009
105
0
I am getting confused with how to simplfy equations i have put an example below and simplified in two ways can anyone tell me if i am correct? Or where i have gone wrong

! = NOT
& = AND

!A&!B&!C + !B&C&!D + A&C + A&B

!A&!B(C+!C) +!B&!D + A&C + A&B

!A&!B + !B&!D + A&C + A&B

Is this as far as I can go or can

!A&!B + A&B Cancel out also leaving

!B&!D + A&C

Or is this correct way

Method 2

!A&!B&!C + !B&C&!D + A&C + A&B

!C(!A!B+AB)+!B&C&!D + A&B

!B + C&!D + A

if someone can clear this up that would be helpful

Thanks

2. ### Ratch New Member

Mar 20, 2007
1,068
3
Kayne,

You have gone wrong several ways.

1) You have used a clunky, clumsy notation. No one wants to read your equations that way. Try instead A'B'C' + B'CD' + AC + AB .

3) You have not used a Karnaugh map (K-map). Try it, and you will like it.

Ratch

3. ### thatoneguy AAC Fanatic!

Feb 19, 2009
6,357
718
The verilog notation is a matter of preference, without using TeX, getting the equation readable is difficult.

Here is the TeX version, put the tex and /tex tags around it to make it look like the image below, which is auto-generated when you click Preview or Submit:

\overline{A}\overline{B}\overline{C} + \overline{B}\overline{C}\overline{D} + AC + AB

$\overline{A}\overline{B}\overline{C} + \overline{B}\overline{C}\overline{D} + AC + AB$

4. ### Kayne Thread Starter Active Member

Mar 19, 2009
105
0
thanks for the reply and i will start using the notation you have said