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Diffstat (limited to '3860/CH3/EX3.14/EX3_14.sce')
-rw-r--r-- | 3860/CH3/EX3.14/EX3_14.sce | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/3860/CH3/EX3.14/EX3_14.sce b/3860/CH3/EX3.14/EX3_14.sce new file mode 100644 index 000000000..4a7a18595 --- /dev/null +++ b/3860/CH3/EX3.14/EX3_14.sce @@ -0,0 +1,53 @@ +//Example 3.14: Reduce expression using k-map
+clc; //clears the window
+clear; //clears all existing variables
+//Mapping the expression//
+disp(' A''B'' A''B AB AB'' ')
+disp('C''D'' 1 1 1 ')
+disp('CD'' 1 1')
+disp('CD 1 1 1')
+disp('CD'' 1 1 1')
+disp(' From the map, high outputs are for 0,1,2,6,7,8,10,11, 12,13,14') //given logic equation
+a=[0 0 0 0;0 0 0 1;0 0 1 0;0 1 1 0 ;0 1 1 1;1 0 0 0;1 0 1 0 ;1 0 1 1;1 1 0 0;1 1 0 1;1 1 1 0]
+disp(a)
+for i=1: 11
+ 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) ])
+x11=strcat([ b(11,1),b(11,2),b(11,3),b(11,4) ])
+x=[x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7"+",x8"+",x9"+",x10"+",x11]
+disp(x)
+//Expression is displayed//
+disp('The resulting three equally good answers are')
+disp('F = A''C''D'' + AC''D + A''CD + ACD'' + B''D'' + AB''')
+disp('F = A''C''D'' + AC''D + A''CD + ACD'' + B''D'' + B''C')
+disp('F = A''C''D'' + AC''D + A''CD + ACD'' + AB'' + B''C')
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