Sunday, 25 November 2012

Simplifies Boolean Algebra through truth table or Vice-Versa using SOP


By on 21:41

1)Derived truth table through function using SOP(Sum Of Product):-

Simple Rules:- In SOP 0=(')like A' and 1 like A,In SOP we grasp 1 instead of o.

Q.1)Z(ABC)=Σ(3,5,6,7)

Sol.)Z(ABC)=A'BC+AB'C+ABC'+ABC



A B C Z
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 1
1 1 1 1
                                               

Q.2)Z(ABC)=Σ(0,1,5,7)

Sol.)Z(ABC)=A'B'C'+A'B'C+AB'C+ABC


ABCZ
0001
0011
0100
0110
1000
1011
1100
1111

2)Derived function through truth table using SOP:-

Q.1):

ABCZ
0001
0011
0100
0110
1000
1011
1100
1111

Sol.)Z(ABC)=A'B'C'+A'B'C+AB'C+ABC

Q.2):-


ABCZ
0000
0010
0100
0111
1000
1011
1101
1111


Sol.) Z(ABC)=A'BC+AB'C+ABC'+ABC



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