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FROM THE HISTORY OF THE BINARY NUMBER SYSTEM. JUAN CARAMUEL

https://doi.org/10.32517/2221-1993-2020-19-8-61-63

Abstract

The article, in addition to the previous publication of the authors, shows that the binary number system was also described before the great German scientist Gottfried Wilhelm Leibniz, who did so in his work "Explication de l'Arithmetique Binaire" in 1703. In particular, the contribution of the Spanish polymath Juan Caramuel, who, in his book "Mathesis biceps vetus et nova" ("The two faces of mathematics — old and new"), published in 1670, considered binary and other non-decimal number systems. In the book, he gave examples of the binary notation of numbers, compared the binary and decimal number systems in terms of the number of digits in the notation of numbers, etc. The scientist also suggested the possible use of the binary system, in particular, in music.

About the Authors

D. M. Zlatopolski
School 1530 Lomonosov School
Russian Federation

Moscow



V. V. Shilov
National Research University Higher School of Economics
Russian Federation

Moscow



References

1. Златопольский Д. М., Шилов В. В. Из истории двоичной системы счисления. Томас Харриот // Информатика в школе. 2020. № 6. С. 19-23. DOI: 10.32517/2221-1993-2020-19-6-19-23

2. Ares J., Lara J., Lizcano D. et al. Who Discovered the Binary System and Arithmetic? Did Leibniz Plagiarize Caramuel? // Science and Engineering Ethics, 2018. Vol. 24. P. 173-188. DOI: 10.1007/s11948-017-9890-6.

3. Caramuel y Lobkowitz J. Arquitectura civil recta y oblicua... Vigevano, 1678.

4. Caramuel I. Mathesis audax... Lovanii, 1644.

5. Caramuelis I. Mathesis biceps vetus et nova. Campania, 1670.

6. Glaser A. History ofbinary and other nondecimal numeration. 1981. DOI: 10.2307/3104691.

7. Juan Caramuel Lobkowitz: The Last Scholastic Polymath. Prague, 2008.

8. Leibnitz G.-G. Explication de l’Arithmetique Binaire... // Memories de mathematique et de physique de l’Academie royale des sciences, Academie royale des sciences, 1703. P. 85-89.


Review

For citations:


Zlatopolski D.M., Shilov V.V. FROM THE HISTORY OF THE BINARY NUMBER SYSTEM. JUAN CARAMUEL. Informatics in school. 2020;(8):61-63. (In Russ.) https://doi.org/10.32517/2221-1993-2020-19-8-61-63

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ISSN 2221-1993 (Print)