Boolean Algebra Laws and Rules

There are three laws of Boolean Algebra that are the same as ordinary algebra.

1. The Commutative Law
   addition A + B = B + A (In terms of the result, the order in which variables are ORed makes no difference.)
   multiplication AB = BA (In terms of the result, the order in which variables are ANDed makes no difference.)
2. The Associative Law
   addition A + (B + C) = (A + B) + C (When ORing more than two variables, the result is the same regardless of the grouping of the variables.)
   multiplication A(BC) = (AB)C (When ANDing more than two variables, the result is the same regardless of the grouping of the variables.)
3. The Distributive Law - The distributive law is the factoring law. A common variable can be factored from an expression just as in ordinary algebra.
   A(B + C) = AB + AC

 (A + B)(C + D) = AC + AD + BC + BD Remeber FOIL(First, Outer, Inner, Last)?

 

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