From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001 From: prashantsinalkar Date: Tue, 10 Oct 2017 12:27:19 +0530 Subject: initial commit / add all books --- 3860/CH3/EX3.16/EX3_16.sce | 52 ++++++++++++++++++++++++++++++++++++++++++++++ 3860/CH3/EX3.16/Ex3_16.txt | 36 ++++++++++++++++++++++++++++++++ 2 files changed, 88 insertions(+) create mode 100644 3860/CH3/EX3.16/EX3_16.sce create mode 100644 3860/CH3/EX3.16/Ex3_16.txt (limited to '3860/CH3/EX3.16') 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 \ No newline at end of file -- cgit