//Example 6-12// //reduce expression using k-map// clc //clears the window// clear //clears all existing variables// //Mapping the expression// disp(' C''D'' C''D CD CD'' ') disp('A''B'' 0 0 1 1 ') disp('AB'' 0 1 1 0 ') disp('AB 1 1 1 1 ') disp('AB'' 0 1 1 0 ') disp(' From the map, high outputs for 2,3,5,7,9,11,12,13,14,15 ') //given logic equation// a=[0 0 1 0;0 0 1 1;0 1 0 1;0 1 1 1 ;1 0 0 1;1 0 1 1;1 1 0 0;1 1 0 1;1 1 1 0;1 1 1 1] disp(a) for i=1: 10 if a(i,1)==1 then b(i,1)='A' else b(i,1)='A''' end if a(i,2)==1 then b(i,2)='B' else b(i,2)='B''' end if a(i,3)==1 then b(i,3)='C' else b(i,3)='C''' end if a(i,4)==1 then b(i,4)='D' else b(i,4)=' D''' 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) ]) x10=strcat([ b(10,1),b(10,2),b(10,3),b(10,4) ]) x=([x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7"+",x8"+",x9"+",x10 ]) disp(x) //Expression is displayed// disp('now reducing expression using boolean algebra') disp('A''B''C+BD+AB+AD')