1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Boolean logic expansion issue (POS -> CPOS)

  1. May 27, 2014 #1
    1. The problem statement, all variables and given/known data
    Convert f=(x'+y)(x+z)(y+z) from product of sums form, into the canonical product of sums.


    2. Relevant equations
    boolean logic, et al.


    3. The attempt at a solution

    This is boolean logic (so + is "or" and * is "and" etc..)

    There has to be some stupidly simple thing I am overlooking here. I chose to break it down and work each Maxterm by itself.

    So the first thing to expand is:
    (x'+y)
    and so:
    (x'+y) = x' + y + zz' since zz' = 0 this is okay.

    Now here is the part I am not following.

    I know that x' + y + zz' = (x' + y + z)(x' + y + z')

    but I don't know how this expansion is happening.
     
  2. jcsd
  3. May 27, 2014 #2

    verty

    User Avatar
    Homework Helper

    This is just the distribution rule: ##A \cup (B \cap C) = (A \cup B) \cap (A \cup C)##.

    PS. Learn the rules by heart, there aren't too many of them.
     
  4. May 27, 2014 #3
    oh god your right.

    Thanks.

    I should have just wrote it out without all the + and * nonsense and I would have seen that.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Boolean logic expansion issue (POS -> CPOS)
  1. NAND Boolean Logic (Replies: 10)

Loading...