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-   -   Proof the equation (Boolean algebra) (https://www.askmehelpdesk.com/showthread.php?t=611505)

  • Nov 12, 2011, 03:16 AM
    pop000
    1 Attachment(s)
    Proof the equation (Boolean algebra)
    given the equation (in the picture)

    I asked to Proof that the left side are equal to the right side.

    I know how to proof that the right side are equal to the left side,but not vice versa.

    hope you can help.

    thanks.
  • Nov 12, 2011, 08:11 PM
    rexof345
    Can you post your prof for right to left? I may be able to help but its been along time since I have done boolean algebra. I know its equal by using the laws and substution of values for letters, but I need to see more of what your looking for to help. Sorry its just been to long since I have done this in school.
  • Nov 13, 2011, 12:16 AM
    pop000
    sure I can show you.

    (A+C)(A+D)(B+C)(B+D)=
    [(A+C)(A+D)][(B+C)(B+D)]=
    [AA+AD+CA+CD][BB+BD+CB+CD]=
    [A(1+D+C)+CD][B(1+D+B)+CD]=
    [A+CD][B+CD]=AB+ACD+BCD+CDCD=
    AB+CD(A+B+1)=
    AB+CD

    I am not sure if I 100% correct.

    thanks.

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