Saturday, May 9, 2015

Computers-Boolean Algebra Laws/Theorems

Boolean Algebra Laws/Theorems:


1.Indempotence Law
2.Involution
3.Complementarity Law
4.Commutative Law
5.Associative Law
6.Distributive Law
7.Absorption Law
8.De Morgan's Law


1)Indempotence Law

X+X=X
X.X=X

2)Involution
=
X=X

3)Complementarity Law
     _
X+X=1
    _
X.X=0


4)Commutative Law

X+Y=Y+X
X.Y=Y.X

5)Associative Law

X+(Y+Z)=(X+Y)+Z
X.(Y.Z)=(X.Y).Z

6)Distributive Law

X.(Y+Z)=X.Y+X.Z
X+(Y.Z)=(X+Y).(X+Z)

7)Absorption Law

X+X.Y=X
X.(X+Y)=X

8)De Morgan's Theorem
____  _  _
X+Y=X.Y



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