1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

K-Maps Prime Implicates and Essential Minterms

  1. Feb 12, 2015 #1
    1. The problem statement, all variables and given/known data
    For each of the following functions with “don’t care” conditions, draw two k-maps: one for the simplified SOP and the other for the simplified POS; circle the essential prime circles, and underline the essential prime minterms (maxterms) as described in lecture. Indicate all prime implicants (implicates) and all essential implicants (implicates).
    (a) F(w,x,y,z) = ∑m (0,2,4,6,7,8,12,13), d(w,x,y,z) = ∑m (5,10)

    2. Relevant equations

    3. The attempt at a solution
    I just want to check if my answers are correct. First one seems like all 0's are essential. And the second one it seems like there are many ways to circle the 1's.
  2. jcsd
  3. Feb 15, 2015 #2
    to get a more simplified answer we encircle the 1s or 0s with as many same bits(adjacent to it) as possible. So, by this I mean that the best way is to encirlce the largest circles possible. For example, if there are combinations of QUAD and BIN possible, then we essentially choose the QUAD, thereby obtaining a simplified solution.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Maps Prime Implicates Date
Making an Algorithm to Check Whether a Number is a Prime Number Mar 1, 2018
Isoparametric Mapping Nov 11, 2016
K-Map Solution verification May 10, 2016
Karnaugh map Nov 18, 2015
Digital logic K map question Nov 8, 2015