I am reading a book, and I am trying to understand what the writer really mean by the following terms. I would like to understand what these words mean in relation to the examples.
In regular algebra, addition and multiplication are commutative: $A + B = B + A$ $A \times B = B \times A$ they are also associative: $A + (B + C) = (A + B) + C$ $A \times (B \times C) = (A\times B) \times C$ And multiplication is said to be distributive: $A \times (B + C) = (A \times B) + (A \times C)$
In Boolean algebra, the $+$ operator is distributive over the $\times$ operator: $W + (B \times F) = (W + B)\times (W + F)$ $W = \text{white}\qquad B = \text{black}\qquad F = \text{female}$