Boolean Algebra Summary

 

          Boolean Relation                                    Dual Relation

 

          A + B = B + A                                          BA = AB

 

          A+(B+C) = (A+B)+C                              A(BC) = (AB)C

 

          A(B+C) = AB + AC                                 A+BC = (A+B)(A+C)

 

          A+0 = A                                                    A·1 = A

 

          A+1 = 1                                                     A·0 = 0

 

          A+A = A                                                   A·A = A

 

          A + = 1                                                     = 0

 

          A  0 = A

 

          A  1 = 

 

          A  A = 0

 

A   = 1

 

 = A

 

A + AB = A                                               A(A+B) = A

 

A + B = A + B                                        A( + B) = AB