//Example 3.11: Reduce expression using k-map clc; //clears the window clear; //clears all existing variables //Mapping the expression// disp(' W''X'' W''X WX WX'' ') disp('Y''Z'' - ') disp('YZ'' 1 1 1 ') disp('YZ 1 1 1') disp('YZ'' 1 1 1') disp(' From the map, high outputs are for 5,6,7,8,9,10,13,14,15 ') //given logic equation a=[0 1 0 1;0 1 1 0;0 1 1 1;1 0 0 0 ;1 0 0 1;1 0 1 0;1 1 0 1;1 1 0 0 ; 1 1 1 1'] disp(a) for i=1: 9 if a(i,1)==1 then b(i,1)='W' else b(i,1)='W''' end if a(i,2)==1 then b(i,2)='X' else b(i,2)='X''' end if a(i,3)==1 then b(i,3)='Y' else b(i,3)='Y''' end if a(i,4)==1 then b(i,4)='Z' else b(i,4)=' Z''' end end disp(' Evaluating expression from truth table and map ') x1=strcat([ b(1,1),b(1,2),b(1,3),b(1,4) ]) x2=strcat([ b(2,1),b(2,2),b(2,3),b(2,4) ]) x3=strcat([ b(3,1),b(3,2),b(3,3),b(3,4) ]) x4=strcat([ b(4,1),b(4,2),b(4,3),b(4,4) ]) x5=strcat([ b(5,1),b(5,2),b(5,3),b(5,4) ]) x6=strcat([ b(6,1),b(6,2),b(6,3),b(6,4) ]) x7=strcat([ b(7,1),b(7,2),b(7,3),b(7,4) ]) x8=strcat([ b(8,1),b(8,2),b(8,3),b(8,4) ]) x9=strcat([ b(9,1),b(9,2),b(9,3),b(9,4) ]) x=[x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7"+",x8"+",x9] disp(x) //Expression is displayed// disp('Three different reduced expression using boolean algebra') disp('G = XZ + WZ + W''YZ'' + WX''Y') disp('G = XZ + WZ + W''YZ'' + X''YZ''') disp('G = XZ + WZ + X''YZ'' + W''XY')