Minterms And Maxterms

Discussion in 'General Electronics Chat' started by dogar sahab, Mar 15, 2008.

  1. dogar sahab

    Thread Starter Active Member

    Mar 15, 2008
    116
    0
    i want to know that PRODUCT OF SUMS is the complement of SUM OF PRODUCTS......I am giving u a problem to solve:
    X=A+A'BC+B'C
     
  2. dogar sahab

    Thread Starter Active Member

    Mar 15, 2008
    116
    0
    product of sums must be the complement of the sum of products!!!!!!but it isn't!!!how????
     
  3. Søren

    Senior Member

    Sep 2, 2006
    472
    28
    Hi,

    How do you define "complement"?

    You need to shorten your expression - fill your terms into a Karnaugh map like this.

    Code ( (Unknown Language)):
    1.  
    2. A/BC | 00 01 11 10
    3. -----+------------
    4.  0   |  0  1  1  0
    5.  1   |  1  1  1  1
    6.  
    Then I trust you to make the two circles and read out the answer yourself.
     
  4. Dave

    Retired Moderator

    Nov 17, 2003
    6,960
    144
    Simple DeMorgans:

    X = A+A'BC+B'C <- Sum of products

    Double NOT:

    X = (A+A'BC+B'C)''

    Apply DeMorgans to whole expression:

    X = ((A)'(A'BC)'(B'C)')'

    Apply DeMorgans to each product term:

    X = ((A)'(A + B' + C)(B + C'))' <- Complement of product of sums

    It works the other way also.

    Dave (4000)
     
  5. dogar sahab

    Thread Starter Active Member

    Mar 15, 2008
    116
    0
    thnks for giving me the suggestions
     
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