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Formalized Mathematics
Article . 2018 . Peer-reviewed
License: CC BY NC ND
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Formalized Mathematics
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License: CC BY NC ND
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Article . 2018
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https://dx.doi.org/10.2478/for...
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Binary Representation of Natural Numbers

Binary representation of natural numbers
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2018 English Publisher:Walter de Gruyter GmbHJournal:Formalized Mathematics, volume 26, pages 223-229 (issn: 1426-2630, eissn: 1898-9934, Copyright policy )
Authors: Okazaki, Hiroyuki;

doi: 10.2478/forma-2018-0020

Binary Representation of Natural Numbers

Abstract

Summary Binary representation of integers [5], [3] and arithmetic operations on them have already been introduced in Mizar Mathematical Library [8, 7, 6, 4]. However, these articles formalize the notion of integers as mapped into a certain length tuple of boolean values. In this article we formalize, by means of Mizar system [2], [1], the binary representation of natural numbers which maps ℕ into bitstreams.

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Keywords

Mechanization of proofs and logical operations, Other number representations, algorithms

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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