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

1) Derived truth table  through  function (Boolean Expression)  using POS(Product of Sum):- Simple Rules:-  In POS 1=(')like A' a...

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.):-

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

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

Sol.):-

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

2)Derived function through truth table using POS:-

Q.1):-

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

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

Q.2):- 

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

Sol.) (A+B+C').(A+B'+C).(A'+B+C')

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