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(Ad...
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)'
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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