CPSC 259 Chapter Notes - Chapter 9.0: Distributive Property, Logic Gate, Commutative Property

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There are three main terms used in boolean algebra, variables, complement and literal. Variables can take the value of either 1 or 0 and is a symbol, such as a or b, that is used to represent a logical quantity. A complement is the opposite of variable, so if a variable has value 1, then its complement will have value 0. It is represented by a bar or a prime sign on the variable, so a = variable, then a" = complement. A literal can be either of the two, so it can be a variable or its complement. Boolean addition is like algebraic addition in many ways. Its digital representation in the circuit happens with the or logic gate. So in addition, the addition of literals results in a. 1, if one of the literal is a 1. It can be a 0, only if all the literals are 0.

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