Digit-wise parallelism of addition of real numbers due to redundancy of representation-Reference-Cited by-同舟云学术

Digit-wise parallelism of addition of real numbers due to redundancy of representation

Published:2020 Issue: Volume: Page:
ISSN:2618-9542
Container-title:Proceedings of 22nd Scientific Conference “Scientific Services & Internet – 2020”
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Author:

Nepejvoda Nikolai Nikolevich¹^ORCID,Grigorevskiy Ivan Nikolaevich²^ORCID,Klimov Andrei Valentinovich³^ORCID,Klimov Yuri Andreevich³^ORCID,Romanenko Sergei Anatolievich³^ORCID

Affiliation:

1. PSI RAN

2. PSI RAS

3. Keldysh Institute of Applied Mathematics

Publisher

Keldysh Institute of Applied Mathematics

Reference16 articles.

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2. Brusentsov N.P., Alvarez J.R. Ternary Computers: The Setun and the Setun 70 // Perspectives on Soviet and Russian Computing. SoRuCom-2006. IFIP Advances in Information and Communication Technology. — Vol 357. — Berlin, Heidelberg: Springer, 2011. — DOI: 10.1007/978-3-642-22816-2_10.

3. Cauchy A.-L. Sur les moyens d’éviter les erreurs dans les calculs numériques (On Ways to Avoid Errors in Numerical Calculations) // Comptes rendus de l'Académie des Sciences. — 1840, tome XI. — P. 789–798. — Reprinted in: Cauchy A.-L. Œuvres complètes, série 1, tome 5. — 1885. — P. 431–442. — URL: http://sites.mathdoc.fr/cgi-bin/oeitem?id=OE_CAUCHY_1_5_431_1 .

4. Frougny Ch., Sakarovitch J. Number Representation and Finite Automata // Berthé V., Rigo M. (Eds.), Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications, 135). — Cambridge : Cambridge University Press, 2010. — P. 34–107. — DOI: 10.1017/CBO9780511777653.003 .

5. Frougny Ch., E. Pelantová E., Svobodová M. Parallel Addition in NonStandard Numeration Systems // Theoretical Computer Science. — 2011, 412(41). — P. 5714–5727. — DOI: 10.1016/j.tcs.2011.06.028 .