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Diffstat (limited to '2825/CH19/EX19.31/Ex19_31.sce')
-rwxr-xr-x | 2825/CH19/EX19.31/Ex19_31.sce | 16 |
1 files changed, 16 insertions, 0 deletions
diff --git a/2825/CH19/EX19.31/Ex19_31.sce b/2825/CH19/EX19.31/Ex19_31.sce new file mode 100755 index 000000000..dd37109ea --- /dev/null +++ b/2825/CH19/EX19.31/Ex19_31.sce @@ -0,0 +1,16 @@ +//Ex19_31 Pg-999
+clc
+
+disp("LHS : (A+ C)(A'' + B) ")
+disp(" = AA'' + AB + CA'' + BC") //using distributive law
+disp(" = 0 + AB + CA'' + BC") //using law 8
+disp(" = AB + (A + A'')BC + CA''") //using law 7
+disp(" = AB + ABC + A''BC + CA''")
+//using distributive law
+disp(" = AB + ABC + A''C(B + 1)")
+//taking common A'C from A'BC + CA'
+disp(" = AB + ABC + A''C") //using law 3
+disp(" = AB(C + 1)+ A''C")
+//taking common AB from AB + ABC
+disp(" = AB + A''C") //using law 3
+disp("Therefore (A+ C)(A'' + B) = AB + A''C")
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