Simply an equation

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

 

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 .

2) You have not searched this forum for an answer. Two days ago I answered a similar question. http://forum.allaboutcircuits.com/showthread.php?t=20992

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

Ratch

 

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

 

thanks for the reply and i will start using the notation you have said