NDLI: Properties of two’s complement floating point notations

Content Provider	Springer Nature Link
Author	Boldo, Sylvie Daumas, Marc
Copyright Year	2003
Abstract	Few designs, mostly those of Texas Instruments, continue to use two’s complement floating point units. Such units are simpler to build and to validate, but they do not comply to the dominant IEEE standard for floating point arithmetic. We compare some properties of the two systems in this text. Some features are lost, but others remain unchanged. One strong example is the case of Sterbenz’s theorem and our recent extension. We show in the paper that the theorem and its extension hold for the two’s complement architecture. Still, users should ensure that results are large enough on circuits that do not implement gradual underflow. Theorems have been proven and validated using the Coq automatic proof checker.
Starting Page	237
Ending Page	246
Page Count	10
File Format	PDF
ISSN	14332779
Journal	International Journal on Software Tools for Technology Transfer
Volume Number	5
Issue Number	2-3
e-ISSN	14332787
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2004-03-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Digital signal processing Avionics Formal proof Software Engineering Software Engineering/Programming and Operating Systems Theory of Computation
Content Type	Text
Resource Type	Article
Subject	Information Systems Software

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Properties of two’s complement floating point notations