diff options
Diffstat (limited to '3860/CH3/EX3.16')
-rw-r--r-- | 3860/CH3/EX3.16/EX3_16.sce | 52 | ||||
-rw-r--r-- | 3860/CH3/EX3.16/Ex3_16.txt | 36 |
2 files changed, 88 insertions, 0 deletions
diff --git a/3860/CH3/EX3.16/EX3_16.sce b/3860/CH3/EX3.16/EX3_16.sce new file mode 100644 index 000000000..c04d15a91 --- /dev/null +++ b/3860/CH3/EX3.16/EX3_16.sce @@ -0,0 +1,52 @@ +//Example 3.16: 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'' 1 1 1 ')
+disp('YZ'' 1 1 ')
+disp('YZ 1 1')
+disp('YZ'' 1 1 ')
+disp(' From the map, high outputs are for 0,1,3,7,8,11,12,13,15 ') //given logic equation
+a=[0 0 0 0;0 0 0 1;0 0 1 1;0 1 1 1 ;1 0 0 0; 1 0 1 1 ;1 1 0 0;1 1 0 1 ;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('The four probable solutions are')
+disp('F = YZ + W''X''Z + X''Y''Z'' + WXY''')
+disp('F = YZ + W''X''Y'' + X''Y''Z'' + WXY''')
+disp('F = YZ + W''X''Y'' + WY''Z'' + WXY''')
+disp('F = YZ + W''X''Y'' + WY''Z'' + WXZ')
diff --git a/3860/CH3/EX3.16/Ex3_16.txt b/3860/CH3/EX3.16/Ex3_16.txt new file mode 100644 index 000000000..f04effafc --- /dev/null +++ b/3860/CH3/EX3.16/Ex3_16.txt @@ -0,0 +1,36 @@ +
+ W'X' W'X WX WX'
+
+ Y'Z' 1 1 1
+
+ YZ' 1 1
+
+ YZ 1 1
+
+ YZ' 1 1
+
+ From the map, high outputs are for 0,1,3,7,8,11,12,13,15
+
+ 0. 0. 0. 0.
+ 0. 0. 0. 1.
+ 0. 0. 1. 1.
+ 0. 1. 1. 1.
+ 1. 0. 0. 0.
+ 1. 0. 1. 1.
+ 1. 1. 0. 0.
+ 1. 1. 0. 1.
+ 1. 1. 1. 1.
+
+ Evaluating expression from truth table and map
+
+!W'X'Y' Z' + W'X'Y'Z + W'X'YZ + W'XYZ + WX'Y' Z' + WX'YZ + WXY' Z' + WXY'Z + WXYZ !
+
+ The four probable solutions are
+
+ F = YZ + W'X'Z + X'Y'Z' + WXY'
+
+ F = YZ + W'X'Y' + X'Y'Z' + WXY'
+
+ F = YZ + W'X'Y' + WY'Z' + WXY'
+
+ F = YZ + W'X'Y' + WY'Z' + WXZ
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