Boolean equations in Cannonical form

Discussion in 'Homework Help' started by nyasha, Apr 11, 2009.

  1. nyasha

    Thread Starter Active Member

    Mar 23, 2009
    90
    1
    F(a,b,c)=abc+ ab+a+b+c


    Guys l would like to know why are the two first terms in this boolean equation redundant ?
     
  2. Ratch

    New Member

    Mar 20, 2007
    1,068
    3
    nyasha,

    abc+ ab+a+b+c = ab(c+1)+a+b+c = ab+a+b+c = a(b+1)+b+c = a+b+c

    Ratch
     
  3. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    If the logic requirement for F(a,b,c) is that for any input a,b or c being TRUE, then the output should be TRUE ...then the first two terms have no bearing on the required outcome. In that case they are redundant.
     
  4. nyasha

    Thread Starter Active Member

    Mar 23, 2009
    90
    1

    Thanks for the help
     
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