Every Bit Counts
eBook - ePub

Every Bit Counts

Posit Computing

  1. 456 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Every Bit Counts

Posit Computing

About this book

Written by one of the foremost experts in high-performance computing and the inventor of Gustafson's law, Every Bit Counts: Posit Computing explains the foundations of a new way for computers to calculate that saves time, storage, energy, and power by packing more information into every bit than do legacy approaches. Both the AI and HPC communities are increasingly using the posit approach that Gustafson introduced in 2017, which may be the future of technical computing.

What may seem like a dry subject is made engaging by including the human and historical side of the struggle to represent numbers on machines. The book is richly illustrated in full color throughout, with every effort made to make the material as clear and accessible as possible, and even humorous.

Starting with the simplest form of the idea, the chapters gradually add concepts according to stated mathematical and engineering design principles, building a robust tool kit for creating application-specific number systems. There is also a thorough explanation of the Positâ„¢ Standard (2022), with motivations and examples that expand on that terse 12-page document.

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Yes, you can access Every Bit Counts by John L. Gustafson in PDF and/or ePUB format, as well as other popular books in Computer Science & Programming Algorithms. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Acknowledgments
  10. How to Read this Book
  11. Chapter 1 The Posit Number Format
  12. Chapter 2 Inaccuracy Done Right
  13. Chapter 3 More Power!
  14. Chapter 4 How We Got Into This Mess
  15. Chapter 5 The Posit Standard, Annotated
  16. Chapter 6 Preaching About the Quire
  17. Chapter 7 A Bridge to Sane Floats
  18. Chapter 8 Logarithmic Systems, The Musical
  19. Chapter 9 The Fastest Arithmetic Ever?
  20. Chapter 10 The Minefield Method
  21. Chapter 11 Matrix Multiply, Visualized
  22. Chapter 12 Linear Solvers that Suck Less
  23. Chapter 13 The Future of Posit Computing
  24. Glossary
  25. Answers to Exercises
  26. Appendix A Posit Code Listings
  27. Appendix B Float Code Listings.
  28. Appendix C The hypot Function
  29. Appendix D L Table for 8-Bit Posits
  30. Appendix E Linear Solver Tests.
  31. Appendix F Linear Solvers.
  32. Appendix G Takum Format.
  33. Index