Introduction to Computer Data Representation

by

Peter Fenwick

eISBN: 978-1-60805-882-2, 2014
ISBN: 978-1-60805-883-9



Indexed in: EBSCO.

Introduction to Computer Data Representation introduces readers to the representation of data within computers. Starting from basic pr...[view complete introduction]
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Floating-Point Representations

- Pp. 103-126 (24)

Peter Fenwick

Abstract

This chapter extends the earlier representations of integers to the equivalent of the real numbers of scientific calculation. It discusses the basic ideas, especially with reference to the IEEE 754 standard, and contrasting with descriptions of the IBM S/360 and Burroughs B6700 representations. There is extensive discussion of the requirements of ideal floating-point representations and the failings of practical implementations. Special mention is made of the requirements of range, precision and rounding. It concludes with examples of straight-forward calculations which can easily overwhelm many floating-point systems.

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