Advanced Arithmetic for the Digital Computer

Advanced Arithmetic for the Digital Computer Design of Arithmetic Units

Softcover reprint of the original 1st ed. 2002

Paperback (23 Oct 2002)

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Publisher's Synopsis

The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro- gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed.

Book information

ISBN: 9783211838709
Publisher: Springer Vienna
Imprint: Springer
Pub date:
Edition: Softcover reprint of the original 1st ed. 2002
DEWEY: 004.01513
DEWEY edition: 21
Language: English
Number of pages: 141
Weight: 281g
Height: 235mm
Width: 155mm
Spine width: 13mm