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

By Enoch O. Hwang

This booklet will train scholars find out how to layout electronic common sense circuits, in particular combinational and sequential circuits. scholars will easy methods to placed those forms of circuits jointly to shape committed and general-purpose microprocessors. This e-book is exclusive in that it combines using good judgment ideas and the development of person elements to create info paths and regulate devices, and eventually the development of actual devoted customized microprocessors and general-purpose microprocessors. After knowing the fabric within the publication, scholars should be capable of layout uncomplicated microprocessors and enforce them in genuine undefined.

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**Digital Logic and Microprocessor Design With VHDL**

This booklet will educate scholars the best way to layout electronic common sense circuits, in particular combinational and sequential circuits. scholars will tips on how to positioned those different types of circuits jointly to shape committed and general-purpose microprocessors. This booklet is exclusive in that it combines using good judgment ideas and the construction of person parts to create facts paths and keep watch over devices, and eventually the construction of actual devoted customized microprocessors and general-purpose microprocessors.

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The truth table for any given logic expression (no matter how complex it is) can always be derived. 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.

3: Use Boolean algebra to reduce the equation F(x,y,z) = (x' + y' + x'y' + xy) (x' + yz) as much as possible. F = (x' + y' + x'y' + xy) (x' + yz) = (x' • 1 + y' • 1 + x'y' + xy) (x' + yz) = (x' (y + y' ) + y' (x + x' ) + x'y' + xy) (x' + yz) = (x'y + x'y' + y'x + y'x' + x'y' + xy) (x' + yz) = (x'y + x'y' + y'x + y'x' + x'y' + xy) (x' + yz) = (x' (y + y') + x (y + y')) (x' + yz) = (x' • 1 + x • 1) (x' + yz) = (x' + x) (x' + yz) = 1 (x' + yz) = (x' + yz) by Identity Theorem 6a by Inverse Theorem 9b by Distributive Theorem 12a by Idempotent Theorem 7b by Distributive Theorem 12a by Inverse Theorem 9b by Identity Theorem 6a by Inverse Theorem 9b by Identity Theorem 6a Since the expression (x' + y' + x'y' + xy) (x' + yz) reduces down to (x' + yz), therefore, we do want to implement ♦ the circuit for the latter expression rather then the former because the circuit size for the latter is much smaller.

9 Designing a Car Security System In a car security system, we usually want to connect the siren in such a way that the siren will activate when it is triggered by one or more sensors. In addition, there will be a master switch to turn the system on or off. Let us assume that there is a car door switch D, a vibration detector switch V, and the master switch M. We will use the convention that when the door is opened D = 1, otherwise, D = 0. Similarly, when the car is being shaken, V = 1, otherwise, V = 0.