Conversion of Sum of Products to Products of SUm

Discussion in 'The Projects Forum' started by mdyusufali786, Apr 27, 2010.

  1. mdyusufali786

    mdyusufali786 Thread Starter New Member

    Joined:
    Apr 27, 2010
    Messages:
    1
    Location:
    India
    Can any one please teach me step by step how to convert the following SOP form to POS form using DeMorgan's Theorem. Please show it step by step.

    (ABC) + (ABC) + (ABC) = Z
  2. Retiredguy

    Retiredguy Member

    Joined:
    Feb 24, 2007
    Messages:
    11
    Location:
    Kent OH
    DeMorgan's Theorem states first to replace each variable with it's compliment
    So (ABC)+(ABC)+ABC)=Z
    Becomes

    _ _ _ _ _ _ _ _ _ _
    (A B C)+(A B C)+(A B C) = Z

    Second interchange all the AND and OR signs
    _ _ _ _ _ _ _ _ _ _
    (A+B+C)(A+B+C)(A+B+C) + Z

    Now it is the POS
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