The Status of Investigations into Computer Hardware Design Based on the Use of Continued Fractions

Authors:
James E. Robertson;Kishor S. Trivedi
Affiliations:
Department of Computer Science, University of Illinois, Urbana, Ill. 61801.;Department of Computer Science, University of Illinois, Urbana, Ill. 61801.
Venue:
IEEE Transactions on Computers
Year:
1973

Citing 0
Cited 2

Static Analyses of the Precision of Floating-Point Operations

SAS '01 Proceedings of the 8th International Symposium on Static Analysis
On the Use of Continued Fractions for Digital Computer Arithmetic

IEEE Transactions on Computers

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Abstract

The purpose of this paper is to demonstrate that representations of numbers other than positional notation may lead to practical hardware realizations for digital calculation of classes of algorithms. This paper describes current research in the use of continued fractions. Although practicality has not been demonstrated, theoretical results are promising.