FROM THE HISTORY OF THE BINARY NUMBER SYSTEM. THOMAS HARRIOT
https://doi.org/10.32517/2221-1993-2020-19-6-19-23
Abstract
For the first time in the Russian-language literature, the article analyzes the works of the English mathematician, geographer and astronomer Thomas Harriot (1560–1621) related to the binary number system. The various variants of the binary notation of numbers presented in the works, examples of converting a decimal number to a binary number and vice versa, examples of four arithmetic operations in the binary number system, the execution methods of which coincide with modern ones, as well as an example of multiplication by an original method, the name of which can be translated in Latin as "another method is sequential addition" are given. All this allows us to conclude that Thomas Harriot described the binary number system earlier than the great German scientist Gottfried Wilhelm Leibniz, who did so in his work "Explication de l'Arithmétique Binaire" in 1703.
About the Authors
D. M. ZlatopolskiRussian Federation
Moscow
V. V. Shilov
Russian Federation
Moscow
References
1. Alexander A. R. Lunar maps and coastal outlines: Thomas Hariot’s mapping of the Moon // Studies in History and Philosophy of Science, 1998. Vol. 29. P. 345–368. DOI: 10.1016/S0039-3681(98)00011-9
2. Bloom T. F. Borrowed perceptions: Harriot’s maps of the Moon // Journal for the history of astronomy, 1978. Vol. 9. P. 117–122. DOI: 10.1177/002182867800900203
3. Cajori F. A History of Mathematical Notations. Vol. 1. 1928.
4. Glaser A. History of binary and other nondecimal numeration. 1981. DOI: 10.2307/3104691
5. Leibnitz, Godefroy-Guillaume. Explication de l’Arithm é tique Binaire… // M é moires de math é matique et de physique de l’Acad é mie royale des sciences, Acad é mie royale des sciences, 1703. P. 85–89.
6. Pepper J. V. The study of Thomas Harriot’s manuscripts. II. Harriot’s unpublished papers // History of science, 1967. Vol. 6. P. 17–40. DOI: 10.1177/007327536700600102
7. Seltman M., Goulding R. (eds.). Thomas Harriot’s Artis Analyticae Praxis: An English Translation with Commentary. Springer, 2007.
8. Shirley J. W. Binary numeration before Leibniz // American Journal of Physics, 1951. Vol. 19. P. 452–454. DOI: 10.119/1.1933042
9. Shirley J. W. Thomas Harriot: a biography. Oxford, 1983.
10. Tanner R. C. H. The study of Thomas Harriot’s manuscripts. I. Harriot’s will // History of science, 1967. Vol. 6. P. 1–16. DOI: 10.1177/007327536700600101
Review
For citations:
Zlatopolski D.M., Shilov V.V. FROM THE HISTORY OF THE BINARY NUMBER SYSTEM. THOMAS HARRIOT. Informatics in school. 2020;(6):19-23. (In Russ.) https://doi.org/10.32517/2221-1993-2020-19-6-19-23