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.
Number Systems.- Integers.- Floating Point.- Big Integers and Rational Arithmetic.- Fixed-Point Numbers.- Decimal Floating Point.- Interval Arithmetic.
This book can be profitably read by anyone who is interested in computers and is willing to occasionally slog through perhaps unfamiliar territory with minimal guidance. & details are explained thoroughly, with utmost clarity and specificity. Each chapter ends with a summary, recommendations, exercises, and a set of carefully selected references. This small book provides a solid foundation for further exploration and study. It can be especially valuable to computer science and electrical engineering students. (Edgar R. Chavez, Computing Reviews, February, 2016)
This book is, on one level, a discussion of how computers work with numbers. It tells how computers represent numbers such as lóW
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