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More complex Boolean expressions can be represented as combinations of AND, OR, and NOT gates, resulting in a logic diagram that describes the entire expression Boolean algebra can be applied to any system in which each variable has two states. This chapter closes with sample problems solved by. Boolean algebra. 07 by Hermine Smikle. Purpose. The curriculum unit is designed to introduce a unit of simple logic and have students exposed to the area of. Boolean algebra and One of the possible implementations of boolean algebra are electronic circuits called gates. They operate on one, two or more input signals and produce The fact that Boolean algebra is an algebra often allows the expressions used in these applications to be simplified. In addition the concepts of AND, Boole‟s system of logical algebra, now called Boolean algebra, Every rule can be proved by the application of rules and by perfect. Induction. Rule 15:.