SOP to POS

Discussion in 'Homework Help' started by chetgnegy91, Sep 18, 2010.

  1. chetgnegy91

    Thread Starter New Member

    Sep 17, 2010
    10
    0
    Is there a straightforward way to convert from SOP to POS when several terms are involved?
    (I would assume DeMorgan's Theorem, but I'm not sure how it applies to more than 2 terms.)

    A'B+BC+BC', for example...
    Thanks!
     
  2. count_volta

    Active Member

    Feb 4, 2009
    435
    24
    Yea, DeMorgan and Involution.

    Just take it slowly and do it term by term. Order of operations remember.

    (A'B+BC+BC')' = (A'B)' AND (BC)' AND (BC')' =

    (A'' + B') AND (B' + C') AND (B' + C'')

    Now use involution where X'' = X.

    (A + B') AND (B'+C') AND (B' + C)

    And you are done. Ask me if you don't understand what I did at any of the steps.
     
    u-will-neva-no likes this.
  3. chetgnegy91

    Thread Starter New Member

    Sep 17, 2010
    10
    0
    that's very clear, thank you!
     
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