20 votes 20 votes Find the minimum sum of products form of the logic function $ f(A,B,C,D) = \Sigma_{m}(0,2,8,10,15)+ \Sigma _{d}(3,11,12,14)$ where $m$ and $d$ represent minterm and don't care term respectively. Digital Logic gate1991 digital-logic boolean-algebra min-sum-of-products-form descriptive + – ibia asked Nov 14, 2015 edited Apr 17, 2021 by Lakshman Bhaiya ibia 3.2k views answer comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Apr 12, 2017 reply Follow Share Make square is minimum as well as possible 1 votes 1 votes Please log in or register to add a comment.
Best answer 26 votes 26 votes The minimum SOP form of the logic function is given as $: f(A,B,C,D) = B'D'+AC.$ Kalpna Bhargav answered Dec 6, 2014 edited Apr 17, 2021 by Lakshman Bhaiya Kalpna Bhargav comment Share Follow See all 0 reply Please log in or register to add a comment.
12 votes 12 votes 4 variable K-map will be used Here we will get two quads 1. quad of (0,2,8,10 ) ---->B'D' 2. quad of (10.11.14,15) ---> AC F = B'D'+AC Praveen Saini answered Nov 14, 2015 Praveen Saini comment Share Follow See all 2 Comments See all 2 2 Comments reply air1ankit commented Dec 31, 2017 reply Follow Share @praveen_saini sir, in this question why we are taking (10,11,14,15) for 2nd part, we can also take (15,11)??? please explain sir 0 votes 0 votes Praveen Saini commented Jan 4, 2018 reply Follow Share one pair reduce one variable in minimization one quad reduces 2 , and one octet reduce 3.. so on we must pick the group of maximum minterms .. 3 votes 3 votes Please log in or register to add a comment.