Saturday, 24 November 2012

Laws of Boolean Algebra


By on 21:44

Now I discuss the different-2 laws of Boolean Algebra.

Law 1:-AND(Multiple law)

a)x.0=0
b)x.1=x
c)x.x=x
d)x.x'=0

Law 2:-OR(Additive)

a)x+0=0
b)x+x=x
c)x+1=1
d)x+x'=1

Law 3:-NOT(Negative law)

a)A'+A'=1
b)A.A'=0
c)A''=A

Law 4:-Commutative Law

a)A+B=B+A
b)A.B=B.A

Law 5:-Associative Law

a)(A+B)+C=A+(B+C)
b)(A.B).C=A.(BC)

Law 6:-Distributive Law

a)A.(B+C)=A.B+A.C
b)A+(B.C)=(A+B).(A+C)

Law 7:-Absorption Law:-A+AB=A 

Law 8:-Auxiliary Law

a)A+A'B=A+B
b)A(A'+B)=AB

Law 9:-Dem organ's Law

a)(A+B)'=A'.B'
b)(A'.B')=(A+B)'



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