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 .

    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
     
  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
     
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