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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2021-12-5-583-597</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-519</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Realization of combinational logic circuits using standard functions in quantum dot cellular automata</article-title><trans-title-group xml:lang="ru"><trans-title>Реализация комбинационных логических схем с использованием стандартных функций в клеточных автоматах с квантовыми точками</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>Чакрабарти</surname><given-names>Ратна</given-names></name><name name-style="western" xml:lang="en"><surname>Chakrabarty</surname><given-names>Ratna</given-names></name></name-alternatives><bio xml:lang="en"><p>Salt Lake Electronics Complex, Sector V, Kolkata, 700091</p></bio><email xlink:type="simple">ratna.chakrabarty@iemcal.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>Мандал</surname><given-names>Ниранджан Кумар</given-names></name><name name-style="western" xml:lang="en"><surname>Mandal</surname><given-names>Niranjan Kumar</given-names></name></name-alternatives><bio xml:lang="en"><p>Salt Lake Electronics Complex, Sector V, Kolkata, 700091</p></bio><email xlink:type="simple">niranjanmandal54@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Engineering &amp; Management, Department of Electronics &amp; Communication Engineering</institution><country>India</country></aff><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>05</day><month>08</month><year>2025</year></pub-date><volume>12</volume><issue>5</issue><fpage>583</fpage><lpage>597</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Chakrabarty R., Mandal N., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Чакрабарти Р., Мандал Н.</copyright-holder><copyright-holder xml:lang="en">Chakrabarty R., Mandal N.</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://nanojournal.ifmo.ru/jour/article/view/519">https://nanojournal.ifmo.ru/jour/article/view/519</self-uri><abstract><p>A set of functions commonly used in basic circuits are deﬁned as standard functions. They are so called because different combinations of different logic circuits are designed using these functions. They are also used to realize combinational logic circuits and most Boolean expressions. In this paper, 13 standard functions are discussed with their various applications using Quantum Dot Cellular Automata known as QCA which is currentlya familiar nanotechnology for its ultra-low power consumption and high speed operations. The designed functions are analyzed with area, latency and cell count. Energy calculations have been done with the suitable input for its stable operation. Algorithms are also established for the designed functions to realize in QCA technology.</p></abstract><trans-abstract xml:lang="ru"><p>Набор функций, обычно используемых в базовых схемах, определяется как стандартные функции. Они так называются, потому что с использованием этих функций разработаны различные комбинации различных логических схем. Они также используются для реализации комбинационных логических схем и большинства логических выражений. В этой статье обсуждаются 13 стандартных функций с их различными приложениями с использованием клеточных автоматов с квантовыми точками, известных как QCA, которые в настоящее время являются известными нанотехнологиями из-за их сверхнизкого энергопотребления и высокой скорости операций. Разработанные функции анализируются с учетом площади, задержки и количества ячеек. Энергетические расчеты были сделаны с подходящим вводом для его стабильной работы. Также устанавливаются алгоритмы реализации разработанных функций в технологии QCA.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>стандартные функции</kwd><kwd>мажоритарный вентиль</kwd><kwd>универсальный вентиль</kwd><kwd>кодировщик</kwd><kwd>сумматор</kwd><kwd>компаратор</kwd></kwd-group><kwd-group xml:lang="en"><kwd>standard functions</kwd><kwd>majority gate</kwd><kwd>universal gate</kwd><kwd>encoder</kwd><kwd>adder</kwd><kwd>comparator</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">Lent C.S., Tougaw P.D., Porod W., Bernstein G.H. Quantum cellular automata. Nanotechnology, 1993, 4, P. 49–57.</mixed-citation><mixed-citation xml:lang="en">Lent C.S., Tougaw P.D., Porod W., Bernstein G.H. Quantum cellular automata. 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