Converting between SOP and POS

Discussion in 'Homework Help' started by torx11, Oct 11, 2011.

  1. torx11

    Thread Starter New Member

    Oct 6, 2011
    13
    0
    Convert to Product of Sums (POS) 1) AB' + C'D We would use De Morgan's Law on this. So the POS form would be: (A + B')(C' + D) 2) ac + a'bd' + a'be + a'c'de Apply De Morgan's Law again. (a + c)(a' + b + d')(a' + b + e)(a' + c' + d + e) Please tell me if those answers are correct. Thank you.
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    I 'm afraid you 're wrong.

    Check this out: you have F=AB'+C'D.
    You did: F'=(AB'+C'D)'=(AB')(C'D)'=(A'+B)(C+D')
    That means that you have found the F' in an POS form.

    I suggest you make a truth table of F and produce the F' in SOP form from its '0'. Then invert it to get a POS from of F.
     
  3. Zazoo

    Member

    Jul 27, 2011
    114
    43
    Depending on the form you need the result in (canonical vs. minimized), you might have an easier time employing k-maps (minimize with the 0's) or Shannon's expansion theorem.
     
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