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Homework Help: Question about finding min. sum of product using K-maps?

  1. Sep 25, 2015 #1
    1. The problem statement, all variables and given/known data
    Figure out the minimum sum of products for g(r s t) = r't' + rs' +rs

    2. The attempt at a solution
    I understand you can simplify it with the Boolean theorems (e.g r't' + r = t' + r) , however how would you solve it using K-maps? I drew out a truth table, but it seems as if this SOP expression is simplified to the point where there is a missing variable for each term in the function to be able to plot the minterm within the k-map..

    How would I go about in approaching this problem using k-maps?
  2. jcsd
  3. Sep 26, 2015 #2


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    Gold Member

    g(r s t) = r't' + rs' +rs

    Fill out the K-map:

    The lower four 1's will give R. The leftmost/rightmost four 1's will give T'. Thus G = R ∨ T'.

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