ABSTRACT

Learning Boolean algebra for logic analysis, learning about gates that process logic signals and learning how to design some smaller logic circuits is clearly of importance to computer engineers. Logic circuits are the basis for modern digital computer systems; to appreciate how computer systems operate an understanding of digital logic and Boolean algebra is needed. This chapter aims to draw a switching circuit and truth table for a two-input and three-input or-function and state its Boolean expression and simplify Boolean expressions using the laws and rules of Boolean algebra. The Boolean expressions, equivalent switching circuits and truth tables for the three functions used in Boolean algebra are given for a two-input system. A Boolean expression may be used to describe a complex switching circuit or logic system. The simplified Boolean expression for a couple is given by those variables common to all cells in the couple.