1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Simplifying boolean expressions

  1. Sep 17, 2012 #1
    1. The problem statement, all variables and given/known data
    Simplify the following Boolean expressions to a minimum number of literals

    2. The attempt at a solution
    Whenever I tried this I made no progress in reducing the number of literals, I just reordered the expression.


    I began with 6 literals and ended with 6. What else can I try?
  2. jcsd
  3. Sep 17, 2012 #2


    User Avatar
    Homework Helper
    Gold Member

    Are you allowed to use XOR?
  4. Sep 17, 2012 #3
    It doesn't say we can't and we did cover it, however it doesn't show up in any of the other problems or examples so far
  5. Sep 17, 2012 #4
    I tried to use X(N)OR and this is what I came up with:


    I can multiply ac and bc by (1) in the form (x+x')


    Get rid of one of the two abc (redundant)




    Now I have 5 literals, but is that really the most simplified term? I did all this work just to eliminate 1 literal :(
  6. Sep 18, 2012 #5


    User Avatar

    Staff: Mentor

    = c'·a'b' + c(a+b)

    = c'·a'b' + c·(a'b')'

    = ....
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook