Numbers and Computers

  • Ronald T.┬áKneusel

Table of contents

  1. Front Matter
    Pages i-xi
  2. Standard Representations

    1. Front Matter
      Pages 1-1
    2. Ronald T. Kneusel
      Pages 3-17
    3. Ronald T. Kneusel
      Pages 19-74
    4. Ronald T. Kneusel
      Pages 75-111
  3. Other Representations

    1. Front Matter
      Pages 113-113
    2. Ronald T. Kneusel
      Pages 115-156
    3. Ronald T. Kneusel
      Pages 157-179
    4. Ronald T. Kneusel
      Pages 181-199
    5. Ronald T. Kneusel
      Pages 201-228
  4. Back Matter
    Pages 229-231

About this book

Introduction

This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers.

Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second details several other number representations. Each chapter ends with exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, floating point numbers, big integers and rational arithmetic.

This book is for anyone who develops software including software engineerings, scientists, computer science students, engineering students and anyone who programs for fun.

Keywords

Big integer arithmetic decimal floating point numbers fixed point arithmetic floating point numbers integers interval arithmetic number bases rational arithmetic

Authors and affiliations

  • Ronald T.┬áKneusel
    • 1
  1. 1.BroomfieldUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-17260-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-17259-0
  • Online ISBN 978-3-319-17260-6
  • About this book
Industry Sectors
Electronics
Aerospace