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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">infoschool</journal-id><journal-title-group><journal-title xml:lang="ru">Информатика в школе</journal-title><trans-title-group xml:lang="en"><trans-title>Informatics in school</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2221-1993</issn><publisher><publisher-name>Publishing House Education and Informatics</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32517/2221-1993-2020-19-8-61-63</article-id><article-id custom-type="elpub" pub-id-type="custom">infoschool-497</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ИСТОРИЯ ИНФОРМАТИКИ</subject></subj-group></article-categories><title-group><article-title>Из истории двоичной системы счисления. Хуан Карамюэль</article-title><trans-title-group xml:lang="en"><trans-title>FROM THE HISTORY OF THE BINARY NUMBER SYSTEM. JUAN CARAMUEL</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Златопольский</surname><given-names>Д. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Zlatopolski</surname><given-names>D. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Златопольский Дмитрий Михайлович - кандидат технических наук, доцент, руководитель музея истории вычислительной техники.</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">zlatonew@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шилов</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Shilov</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шилов Валерий Владимирович – кандидат технических наук, старший научный сотрудник, профессор.</p><p>101000, Москва, ул. Мясницкая, д. 20</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">valery-54@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Музей истории вычислительной техники школы № 1530 Школа Ломоносова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>School 1530 Lomonosov School</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Национальный исследовательский университет Высшая школа экономики</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research University Higher School of Economics</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>23</day><month>11</month><year>2020</year></pub-date><volume>0</volume><issue>8</issue><fpage>61</fpage><lpage>63</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Златопольский Д.М., Шилов В.В., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Златопольский Д.М., Шилов В.В.</copyright-holder><copyright-holder xml:lang="en">Zlatopolski D.M., Shilov V.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://school.infojournal.ru/jour/article/view/497">https://school.infojournal.ru/jour/article/view/497</self-uri><abstract><p>В статье, в дополнение к предыдущей публикации авторов, показывается, что двоичную систему счисления описывали и до великого немецкого ученого Готфрида Вильгельма Лейбница, сделавшего это в своей работе «Explication de FArithmetique Bimire» в 1703 году. В частности, рассказывается о вкладе испанского полимата Хуана Карамюэля, который в изданной в 1670 году книге «Mathesis biceps vetus et nova» («Два лика математики — старый и новый») рассмотрел двоичную и другие недесятичные системы счисления. В книге он привел примеры двоичной записи чисел, провел сравнение двоичной и десятичной систем счисления с точки зрения количества цифр в записи чисел и др. Ученый также высказал предположение о возможном использовании двоичной системы, в частности, в музыке.</p></abstract><trans-abstract xml:lang="en"><p>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.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>история информатики</kwd><kwd>двоичная система счисления</kwd><kwd>Хуан Карамюэль</kwd></kwd-group><kwd-group xml:lang="en"><kwd>informatics history</kwd><kwd>binary number system</kwd><kwd>Juan Caramuel</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">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</mixed-citation><mixed-citation xml:lang="en">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</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">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.</mixed-citation><mixed-citation xml:lang="en">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.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Caramuel y Lobkowitz J. Arquitectura civil recta y oblicua... Vigevano, 1678.</mixed-citation><mixed-citation xml:lang="en">Caramuel y Lobkowitz J. Arquitectura civil recta y oblicua... Vigevano, 1678.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Caramuel I. Mathesis audax... Lovanii, 1644.</mixed-citation><mixed-citation xml:lang="en">Caramuel I. Mathesis audax... Lovanii, 1644.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Caramuelis I. Mathesis biceps vetus et nova. Campania, 1670.</mixed-citation><mixed-citation xml:lang="en">Caramuelis I. Mathesis biceps vetus et nova. Campania, 1670.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Glaser A. History ofbinary and other nondecimal numeration. 1981. DOI: 10.2307/3104691.</mixed-citation><mixed-citation xml:lang="en">Glaser A. History ofbinary and other nondecimal numeration. 1981. DOI: 10.2307/3104691.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Juan Caramuel Lobkowitz: The Last Scholastic Polymath. Prague, 2008.</mixed-citation><mixed-citation xml:lang="en">Juan Caramuel Lobkowitz: The Last Scholastic Polymath. Prague, 2008.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">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.</mixed-citation><mixed-citation xml:lang="en">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.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
