Sunday, 25 November 2012

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


By on 23:20

1)Derived truth table through function(Boolean Expression) using POS(Product of Sum):-

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



Q.1)Z(ABC)=(A+B+C').(A+B'+C).(A'+B+C')

Sol.):-

ABCZ
0001
0010
0100
0111
1001
1010
1100
1110


Q.2)Z(ABC)=(A+B+C).(A+B'+C).(A'+B+C').(A'+B'+C).(A'+B'+C')

Sol.):-


ABCZ
0000
0011
0100
0111
1001
1010
1100
1110





2)Derived function through truth table using POS:-


Q.1):-


ABCZ
0001
0010
0101
0111
1000
1011
1101
1110

 Sol.) (A+B+C').(A'+B+C).(A'+B'+C')      

Q.2):- 


ABCZ
0001
0010
0100
0111
1001
1010
1100
1110


Sol.) (A+B+C').(A+B'+C).(A'+B+C')



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