How Computers do Math

Description

How Computers do Math.



Clive Maxfield,Alvin Brown



Wiley 2005







Chapter 0 Why This Book Is So Cool 1

This is where we discover just why this book is so cool, and

also why this chapter is numbered ?0.?

Chapter 1 Introducing Binary and Hexadecimal Numbers 7

In this chapter we introduce the concepts of the binary and

hexadecimal number systems (but in a much more interesting

manner than most computer books).

Chapter 2 Computers and Calculators 23

Here we rampage through the insides of a simple computer

and calculator, and we also meet our virtual DIY Calculator.

Chapter 3 Subroutines and Other Stuff 35

In this smorgasbord of a chapter, we first discuss logical, shift,

and rotate instructions; then we plunge headfirst into the

stack, subroutines, recursion, and the concept of self-

modifying code.

Chapter 4 Integer Arithmetic 69

This is where we learn the concepts of signed and unsigned

binary arithmetic, and multibyte data representations. In the

labs associated with this chapter we create some integer-based

math subroutines for use in Chapter 5.

Chapter 5 Creating an Integer Calculator 123

This is where things really start to get interesting because we

use the subroutines we developed in Chapter 4 to implement

a simple four-function integer calculator.

Chapter 6 More Functions and Experiments 135

This may be the last chapter, but turn that frown upside down

into a smile because this is where we discover additional

projects you can undertake, and also how you can compete

with other readers to create better math routines for your

DIY Calculator.

Interactive Laboratories 155?412

This is where you will find the interactive laboratories

associated with Chapters 2 through 5 (see more details

on page ix).

Appendix A Installing Your DIY Calculator 413

In this appendix, we learn how to install the virtual DIY

Calculator presented on the CD-ROM accompanying

this book.

Appendix B Addressing Modes 417

Here we learn about the various addressing modes supported

by the virtual microprocessor powering the DIY Calculator.

Appendix C Instruction Set Summary 429

The tables in this appendix are useful for quickly determining

which instructions are available with which addressing modes.

Appendix D Additional Resources 433

There is a wealth of additional resources for individual

readers and educators on the CD-ROM accompanying the

book and from the DIY Calculator?s website. Also, there are

lots of other really interesting books to read. This appendix

explains it all.

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