A·B =  B·A   (A and B = B and A)

 

A B A.B 0 0 0 0 1 0 1 0 0 1 1 1

=

A B B.A 0 0 0 0 1 0 1 0 0 1 1 1

 

A+B = B+A  (A or B = B or A)

A B A+B 0 0 0 0 1 1 1 0 1 1 1 1

=

A B B+A 0 0 0 0 1 1 1 0 1 1 1 1