Boolean Basics
Boolean algebra is unique in that it is applicable for both numbers and problem solving. The basic concept that every outcome has one of two possibilities: true and false or open and closed. In a computer system, the numbers are either 0 or 1. In an electronic system of a light switch, flipping the switch on opens the gate and flipping it off closes it.
Math
Often when you go to the supermarket and add up prices in your head, you are using the principals of Boolean algebra. The associative property where (A x B) x C = A x (B x C) is a creation of Boolean algebra as well as the commutative property of A x B = B x A. So, when you multiply 3 x 2, you also realize that is the same as multiplying 2 x 3.
Internet Searching
When Internet search engines, such as Google and Yahoo!, developed ways to get more specific search results, it incorporated Boolean algebra. When you want to include two words in a search, they are joined by "and." If you want one or the other, they are joined by "or." These are Boolean expressions.
Problem Solving
Deductive reasoning is based on Boolean algebra and expressions. A statement is either true or false with no gray areas. For example, you state that the month of June has 30 days. Today is a Saturday. Today is the last day of June. We can deduce that today is Saturday, June 30. You used true statements to deductively reason the day of the month.