Description

Book Synopsis
The Basics of Computer Arithmetic Made Enjoyable and Accessible-with a Special Program Included for Hands-on Learning

The combination of this book and its associated virtual computer is fantastic! Experience over the last fifty years has shown me that there''s only one way to truly understand how computers work; and that is to learn one computer and its instruction set-no matter how simple or primitive-from the ground up. Once you fully comprehend how that simple computer functions, you can easily extrapolate to more complex machines.
-Fred Hudson, retired engineer/scientist

This book-along with the virtual DIY Calculator-is an incredibly useful teaching and learning tool. The interesting trivia nuggets keep you turning the pages to see what''s next. Students will have so much fun reading the text and performing the labs that they won''t even realize they are learning.
-Michael Haghighi, Chairperson of the Business and Computer Information Systems

Trade Review
"I found this book to be a lot of fun, and I think many high school teachers and students would enjoy it too." (Mathematics Teacher, September 2006)

"Clive 'Max' Maxfield and Alvin Brown have written a wonderful book…about the essential workings of computers." (The Embedded Muse, February 22, 2006)

"I have not seen a better description of the stack and related concepts. The authors obviously understand that these concepts are usually confusing to novices, and hence they support the material with good and simple examples." (Computing Reviews.com, January 16, 2006)

"It looks like Max has done it again, i.e., written another technical book that reminds us why we studied electronics in the first place--for the sheer fun of it." (Chip Design Magazine, December 2005/January 2006)

"The book is fun, highly informative, and full of vitally important stuff for both the technical and non-technical alike." (EDA Confidential, November 21, 2005)

"Everybody can learn from this lively book but it [is] especially helpful for teachers and engineers who want to share their interest in math and computing machinery with others." (Wireless Net DesignLine Newsletter, November 10, 2005)

"For those interested in a slightly off-beat approach to learning the basics of computer architectures, Maxfield and Brown have put together a multimedia package that's well worth the price of admission." (Electronic Design.com, October 20, 2005)

"The book is perfect for students and those among us who aspire to really understand what is going on in those gismos…the prose is easy to read, and the lab exercises are well designed." (Gabe On EDA.com)



Table of Contents

Laboratories ix

Do You Speak Martian? xi

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 selfmodifying 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.

About the Authors 441

Acknowledgments 443

Index 445

The Definitive Guide to How Computers Do Math

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    Order before 4pm tomorrow for delivery by Tue 7 Jul 2026.

    A Paperback / softback by Clive Maxfield, Alvin Brown

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of The Definitive Guide to How Computers Do Math by Clive Maxfield

      Publisher: John Wiley & Sons Inc
      Publication Date: 21/10/2005
      ISBN13: 9780471732785, 978-0471732785
      ISBN10: 0471732788
      Also in:
      Computer science

      Description

      Book Synopsis
      The Basics of Computer Arithmetic Made Enjoyable and Accessible-with a Special Program Included for Hands-on Learning

      The combination of this book and its associated virtual computer is fantastic! Experience over the last fifty years has shown me that there''s only one way to truly understand how computers work; and that is to learn one computer and its instruction set-no matter how simple or primitive-from the ground up. Once you fully comprehend how that simple computer functions, you can easily extrapolate to more complex machines.
      -Fred Hudson, retired engineer/scientist

      This book-along with the virtual DIY Calculator-is an incredibly useful teaching and learning tool. The interesting trivia nuggets keep you turning the pages to see what''s next. Students will have so much fun reading the text and performing the labs that they won''t even realize they are learning.
      -Michael Haghighi, Chairperson of the Business and Computer Information Systems

      Trade Review
      "I found this book to be a lot of fun, and I think many high school teachers and students would enjoy it too." (Mathematics Teacher, September 2006)

      "Clive 'Max' Maxfield and Alvin Brown have written a wonderful book…about the essential workings of computers." (The Embedded Muse, February 22, 2006)

      "I have not seen a better description of the stack and related concepts. The authors obviously understand that these concepts are usually confusing to novices, and hence they support the material with good and simple examples." (Computing Reviews.com, January 16, 2006)

      "It looks like Max has done it again, i.e., written another technical book that reminds us why we studied electronics in the first place--for the sheer fun of it." (Chip Design Magazine, December 2005/January 2006)

      "The book is fun, highly informative, and full of vitally important stuff for both the technical and non-technical alike." (EDA Confidential, November 21, 2005)

      "Everybody can learn from this lively book but it [is] especially helpful for teachers and engineers who want to share their interest in math and computing machinery with others." (Wireless Net DesignLine Newsletter, November 10, 2005)

      "For those interested in a slightly off-beat approach to learning the basics of computer architectures, Maxfield and Brown have put together a multimedia package that's well worth the price of admission." (Electronic Design.com, October 20, 2005)

      "The book is perfect for students and those among us who aspire to really understand what is going on in those gismos…the prose is easy to read, and the lab exercises are well designed." (Gabe On EDA.com)



      Table of Contents

      Laboratories ix

      Do You Speak Martian? xi

      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 selfmodifying 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.

      About the Authors 441

      Acknowledgments 443

      Index 445

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