Digital Logic and Microprocessor Design With VHDL by Enoch O. Hwang

By Enoch O. Hwang

This e-book will educate scholars find out how to layout electronic common sense circuits, particularly combinational and sequential circuits. scholars will how one can placed those varieties of circuits jointly to shape committed and general-purpose microprocessors. This booklet is exclusive in that it combines using common sense rules and the construction of person parts to create information paths and keep watch over devices, and at last the development of genuine devoted customized microprocessors and general-purpose microprocessors. After knowing the fabric within the e-book, scholars should be capable of layout uncomplicated microprocessors and enforce them in genuine undefined.

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3b. 4b. 1+1=1 0+0=0 1+0=0+1=1 1' = 0 5b. 6b. 7b. x+1=1 x+0=0+x=x x+x=x 9b. x + x' = 1 (a) 5a. 6a. 7a. 8a. 9a. x•0=0 x•1=1•x=x x•x=x (x' )' = x x • x' = 0 Null element Identity Idempotent Double complement Inverse (b) 10a. 11a. 12a. 13a. 14a. 15a. x•y=y•x (x • y) • z = x • (y • z) x • (y + z) = (x • y) + (x • z) x • (x + y) = x (x • y) + (x • y' ) = x (x • y)' = x' + y' 10b. 11b. 12b. 13b. 14b. 15b. 6 Boolean algebra axioms and theorems: (a) Axioms; (b) Single variable theorems; (c) two and three variable theorems.

This sounds great, but we have to remember that the underlining building block for our digital circuits is still based on an analog world. This chapter provides the theoretical foundations for building digital logic circuits using logic gates, the basic building blocks for all digital circuits. In order to understand how logic gates are used to implement digital circuits, we need to have a good understanding of the basic theory of Boolean algebra, Boolean functions, and how to use and manipulate them.

Examples on the use of truth tables 34 Digital Logic and Microprocessor Design with VHDL Chapter 2 - Digital Circuits to describe digital circuits are given in the following sections. Another method to formally describe the operation of a circuit is by using Boolean expressions or Boolean functions. 1 Boolean Algebra George Boole, in 1854, developed a system of mathematical logic, which we now call Boolean algebra. Based on Boole’s idea, Claude Shannon, in 1938, showed that circuits built with binary switches can easily be described using Boolean algebra.

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