{"id":3579,"date":"2025-11-17T11:06:00","date_gmt":"2025-11-17T08:06:00","guid":{"rendered":"http:\/\/selftiming.ru\/new\/?p=3579"},"modified":"2026-02-02T12:06:31","modified_gmt":"2026-02-02T09:06:31","slug":"self-timed-multiply-add-subtract-unit-cases","status":"publish","type":"post","link":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/","title":{"rendered":"Self-Timed Multiply-Add-Subtract Unit Cases"},"content":{"rendered":"\n<p>Yuri Diachenko, Nikolai Morozov, Leonid Plekhanov, Dmitri Stepchenkov, Denis Diachenko. Self-Timed Multiply-Add-Subtract Unit Cases \/\/ 2025 XVII International Conference on Actual Problems of Electronic Instrument Engineering (APEIE), 14-16 November, 2025. \u2013 IEEE, 6 p. <\/p>\n\n\n\n<p>DOI:\u00a010.1109\/APEIE66761.2025.11289383. Indexed in Scopus, \u0420\u0418\u041d\u0426.<\/p>\n\n\n\n<p><strong>\u0424\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u0430\u044f \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u043a\u0430:<\/strong> \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e \u0437\u0430 \u0441\u0447\u0435\u0442 \u0433\u0440\u0430\u043d\u0442\u0430 \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0444\u043e\u043d\u0434\u0430 \u2116 25-19-00508, <a href=\"https:\/\/rscf.ru\/project\/25-19-00508\/%20\">https:\/\/rscf.ru\/project\/25-19-00508\/<\/a> \/ <strong>FundingAgency<\/strong>: The research was funded by a grant Russian Science Foundation No 25-19-00508, <a href=\"https:\/\/rscf.ru\/en\/project\/25-19-00508\/\">https:\/\/rscf.ru\/en\/project\/25-19-00508\/<\/a><\/p>\n\n\n\n<p><strong>Abstract:<\/strong> This article examines the optimal selection of a circuit design basis for a self-timed Fused Multiply-Add-Subtract unit. It multiplies two operands, then calculates the sum and difference of the product and the third operand. Its specification complies with IEEE 754. The article describes and compares two Fused Multiply-Add-Subtract unit cases. The first case performs multiplication and subsequent addition and subtraction using a ternary self-timed code. The second case uses dual-rail encoding with a null spacer. The normalization and rounding of the sum and difference in both cases are implemented using dual-rail encoding. The article demonstrates that the case with dual-rail encoding of input and intermediate operands at all stages of the calculation process has lower complexity. The number of complementary metal-oxide-semiconductor transistors in it is 15% fewer than in the case with ternary encoding of the multiplier, adder, and subtractor operands. As a result, the layout implementation of the ternary Fused Multiply-Add-Subtract unit case in 65 nm complementary metal-oxide-semiconductor technology takes up 24% more die area than the dual-rail one. Besides, the ternary Fused Multiply-Add-Subtract unit case performance is 10% worse than the dual-rail-encoded case performance, taking into account parasitic parameters extracted from the layout.<\/p>\n\n\n\n<p><strong>\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f:<\/strong> \u0421\u0442\u0430\u0442\u044c\u044f \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442 \u0432\u043e\u043f\u0440\u043e\u0441 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0432\u044b\u0431\u043e\u0440\u0430 \u0441\u0445\u0435\u043c\u043e\u0442\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0431\u0430\u0437\u0438\u0441\u0430 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0441\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f \u0441 \u043d\u0430\u043a\u043e\u043f\u043b\u0435\u043d\u0438\u0435\u043c. \u041e\u043d \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043e\u043f\u0435\u0440\u0430\u043d\u0434\u043e\u0432 \u0441 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435\u043c \u0441\u0443\u043c\u043c\u044b \u0438 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043e\u043f\u0435\u0440\u0430\u043d\u0434\u0430. \u0421\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0443 IEEE 754. \u0421\u0442\u0430\u0442\u044c\u044f \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442 \u0438 \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u0442 \u0434\u0432\u0430 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0430 \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f. \u0412 \u043f\u0435\u0440\u0432\u043e\u043c \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u0432 \u0442\u0440\u043e\u0438\u0447\u043d\u043e\u043c \u0441\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u043e\u043c \u043a\u043e\u0434\u0435. \u0412\u0442\u043e\u0440\u043e\u0439 \u0432\u0430\u0440\u0438\u0430\u043d\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442 \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0430\u0440\u0430\u0444\u0430\u0437\u043d\u043e\u0435 \u043a\u043e\u0434\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u043d\u0443\u043b\u0435\u0432\u044b\u043c \u0441\u043f\u0435\u0439\u0441\u0435\u0440\u043e\u043c. \u042d\u0442\u0430\u043f\u044b \u043d\u043e\u0440\u043c\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0438 \u043e\u043a\u0440\u0443\u0433\u043b\u0435\u043d\u0438\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0432 \u043e\u0431\u043e\u0438\u0445 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0430\u0445 \u0440\u0435\u0430\u043b\u0438\u0437\u0443\u044e\u0442\u0441\u044f \u0432 \u043f\u0430\u0440\u0430\u0444\u0430\u0437\u043d\u043e\u043c \u043a\u043e\u0434\u0435. \u0421\u0442\u0430\u0442\u044c\u044f \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442, \u0447\u0442\u043e \u0432\u0430\u0440\u0438\u0430\u043d\u0442 \u0441 \u043f\u0430\u0440\u0430\u0444\u0430\u0437\u043d\u044b\u043c \u043a\u043e\u0434\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0432\u0445\u043e\u0434\u043d\u044b\u0445 \u0438 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u0447\u043d\u044b\u0445 \u043e\u043f\u0435\u0440\u0430\u043d\u0434\u043e\u0432 \u043d\u0430 \u0432\u0441\u0435\u0445 \u044d\u0442\u0430\u043f\u0430\u0445 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u043b\u0430\u0434\u0430\u0435\u0442 \u043c\u0435\u043d\u044c\u0448\u0435\u0439 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c\u044e. \u0427\u0438\u0441\u043b\u043e \u043a\u043e\u043c\u043f\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u043c\u0435\u0442\u0430\u043b\u043b-\u0434\u0438\u044d\u043b\u0435\u043a\u0442\u0440\u0438\u043a-\u043f\u043e\u043b\u0443\u043f\u0440\u043e\u0432\u043e\u0434\u043d\u0438\u043a (\u041a\u041c\u0414\u041f) \u0442\u0440\u0430\u043d\u0437\u0438\u0441\u0442\u043e\u0440\u043e\u0432 \u0432 \u043d\u0435\u043c \u043d\u0430 16 % \u043c\u0435\u043d\u044c\u0448\u0435, \u0447\u0435\u043c \u0432 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0435 \u0441 \u0442\u0440\u043e\u0438\u0447\u043d\u044b\u043c \u043a\u043e\u0434\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u043e\u043f\u0435\u0440\u0430\u043d\u0434\u043e\u0432 \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f, \u0441\u0443\u043c\u043c\u0430\u0442\u043e\u0440\u0430 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u0442\u0435\u043b\u044f. \u0422\u043e\u043f\u043e\u043b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u0442\u0440\u043e\u0438\u0447\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f \u0432 65-\u043d\u043c \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u043d\u0430 26% \u0431\u043e\u043b\u044c\u0448\u0435 \u043c\u0435\u0441\u0442\u0430 \u043d\u0430 \u043a\u0440\u0438\u0441\u0442\u0430\u043b\u043b\u0435, \u0432 \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u0441 \u043f\u0430\u0440\u0430\u0444\u0430\u0437\u043d\u044b\u043c \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u043c. \u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u0431\u044b\u0441\u0442\u0440\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0435 \u0442\u0440\u043e\u0438\u0447\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044f \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u043f\u0430\u0440\u0430\u0437\u0438\u0442\u043d\u044b\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432, \u0438\u0437\u0432\u043b\u0435\u0447\u0435\u043d\u043d\u044b\u0445 \u0438\u0437 \u0442\u043e\u043f\u043e\u043b\u043e\u0433\u0438\u0438, \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043d\u0430 11% \u0445\u0443\u0436\u0435 \u0447\u0435\u043c \u0443 \u0434\u0432\u043e\u0438\u0447\u043d\u043e\u0433\u043e \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0430.<\/p>\n\n\n\n<p>\u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e \u043e \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u043d\u0438\u0438 \u0434\u043e\u043a\u043b\u0430\u0434\u0430 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043d\u0430 \u0441\u0430\u0439\u0442\u0435 \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0438 \/ You can get additional information on the content of the article on the conference website. \u0422\u0430\u043a\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0441\u0432\u044f\u0437\u0430\u0442\u044c\u0441\u044f \u0441 \u0430\u0432\u0442\u043e\u0440\u0430\u043c\u0438 \u0434\u043e\u043a\u043b\u0430\u0434\u0430, \u0438\u043b\u0438 \u0441 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0438\u0442\u0435\u043b\u0435\u043c \u043d\u0430\u0443\u0447\u043d\u043e\u0439 \u0433\u0440\u0443\u043f\u043f\u044b \u0421\u0442\u0435\u043f\u0447\u0435\u043d\u043a\u043e\u0432\u044b\u043c \u042e. \u0410. ia_ste@mail.ru \/ You can also contact the authors of the report, or with the head of the scientific group Stepchenkov Ya. A. ia_ste@mail.ru.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yuri Diachenko, Nikolai Morozov, Leonid Plekhanov, Dmitri Stepchenkov, Denis Diachenko. Self-Timed Multiply-Add-Subtract Unit Cases \/\/ 2025 XVII International Conference on Actual Problems of Electronic Instrument Engineering (APEIE), 14-16 November, 2025. \u2013 IEEE, 6 p. DOI:\u00a010.1109\/APEIE66761.2025.11289383. Indexed in Scopus, \u0420\u0418\u041d\u0426. \u0424\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u0430\u044f \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u043a\u0430: \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e \u0437\u0430 \u0441\u0447\u0435\u0442 \u0433\u0440\u0430\u043d\u0442\u0430 \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0444\u043e\u043d\u0434\u0430 \u2116 25-19-00508, https:\/\/rscf.ru\/project\/25-19-00508\/ \/ FundingAgency: The [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[65,55,51,58,12,52,53,4],"tags":[],"class_list":["post-3579","post","type-post","status-publish","format-standard","hentry","category-65","category-dyachenko-d-yu","category-morozov-n-v","category-plehanov-l-p","category-samosinhronnaya-shemotehnika","category-stepchenkov-d-yu","category-stepchenkov-yu-a","category-conferences"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b\" \/>\n<meta property=\"og:description\" content=\"Yuri Diachenko, Nikolai Morozov, Leonid Plekhanov, Dmitri Stepchenkov, Denis Diachenko. Self-Timed Multiply-Add-Subtract Unit Cases \/\/ 2025 XVII International Conference on Actual Problems of Electronic Instrument Engineering (APEIE), 14-16 November, 2025. \u2013 IEEE, 6 p. DOI:\u00a010.1109\/APEIE66761.2025.11289383. Indexed in Scopus, \u0420\u0418\u041d\u0426. \u0424\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u0430\u044f \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u043a\u0430: \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e \u0437\u0430 \u0441\u0447\u0435\u0442 \u0433\u0440\u0430\u043d\u0442\u0430 \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0444\u043e\u043d\u0434\u0430 \u2116 25-19-00508, https:\/\/rscf.ru\/project\/25-19-00508\/ \/ FundingAgency: The [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\" \/>\n<meta property=\"og:site_name\" content=\"\u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b\" \/>\n<meta property=\"article:published_time\" content=\"2025-11-17T08:06:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-02T09:06:31+00:00\" \/>\n<meta name=\"author\" content=\"Dmitry\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dmitry\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u041f\u0440\u0438\u043c\u0435\u0440\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0434\u043b\u044f \u0447\u0442\u0435\u043d\u0438\u044f\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u043c\u0438\u043d\u0443\u0442\u044b\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\"},\"author\":{\"name\":\"Dmitry\",\"@id\":\"http:\/\/selftiming.ru\/new\/#\/schema\/person\/34f78b9f03fb46fc07792e5ad5346e79\"},\"headline\":\"Self-Timed Multiply-Add-Subtract Unit Cases\",\"datePublished\":\"2025-11-17T08:06:00+00:00\",\"dateModified\":\"2026-02-02T09:06:31+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\"},\"wordCount\":493,\"publisher\":{\"@id\":\"http:\/\/selftiming.ru\/new\/#organization\"},\"articleSection\":[\"2025\",\"\u0414\u044c\u044f\u0447\u0435\u043d\u043a\u043e \u0414.\u042e.\",\"\u041c\u043e\u0440\u043e\u0437\u043e\u0432 \u041d.\u0412.\",\"\u041f\u043b\u0435\u0445\u0430\u043d\u043e\u0432 \u041b.\u041f.\",\"\u0421\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u0430\u044f \u0441\u0445\u0435\u043c\u043e\u0442\u0435\u0445\u043d\u0438\u043a\u0430\",\"\u0421\u0442\u0435\u043f\u0447\u0435\u043d\u043a\u043e\u0432 \u0414.\u042e.\",\"\u0421\u0442\u0435\u043f\u0447\u0435\u043d\u043a\u043e\u0432 \u042e.\u0410.\",\"\u0422\u0440\u0443\u0434\u044b \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0439\"],\"inLanguage\":\"ru-RU\"},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\",\"url\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\",\"name\":\"Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b\",\"isPartOf\":{\"@id\":\"http:\/\/selftiming.ru\/new\/#website\"},\"datePublished\":\"2025-11-17T08:06:00+00:00\",\"dateModified\":\"2026-02-02T09:06:31+00:00\",\"breadcrumb\":{\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#breadcrumb\"},\"inLanguage\":\"ru-RU\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u0413\u043b\u0430\u0432\u043d\u0430\u044f \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0430\",\"item\":\"http:\/\/selftiming.ru\/new\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Self-Timed Multiply-Add-Subtract Unit Cases\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/selftiming.ru\/new\/#website\",\"url\":\"http:\/\/selftiming.ru\/new\/\",\"name\":\"\u0421\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u0430\u044f \u0441\u0445\u0435\u043c\u043e\u0442\u0435\u0445\u043d\u0438\u043a\u0430\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/selftiming.ru\/new\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/selftiming.ru\/new\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ru-RU\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/selftiming.ru\/new\/#organization\",\"name\":\"\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a (\u0424\u0418\u0426 \u0418\u0423 \u0420\u0410\u041d)\",\"url\":\"http:\/\/selftiming.ru\/new\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"http:\/\/selftiming.ru\/new\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/selftiming.ru\/new\/wp-content\/uploads\/2020\/05\/logo1.png\",\"contentUrl\":\"http:\/\/selftiming.ru\/new\/wp-content\/uploads\/2020\/05\/logo1.png\",\"width\":466,\"height\":140,\"caption\":\"\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a (\u0424\u0418\u0426 \u0418\u0423 \u0420\u0410\u041d)\"},\"image\":{\"@id\":\"http:\/\/selftiming.ru\/new\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"http:\/\/selftiming.ru\/new\/#\/schema\/person\/34f78b9f03fb46fc07792e5ad5346e79\",\"name\":\"Dmitry\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ru-RU\",\"@id\":\"http:\/\/selftiming.ru\/new\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/79a99fd5653d363e926309aea81f1256fb9a6bed9c66fb84d3b735b626e46138?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/79a99fd5653d363e926309aea81f1256fb9a6bed9c66fb84d3b735b626e46138?s=96&d=mm&r=g\",\"caption\":\"Dmitry\"},\"url\":\"http:\/\/selftiming.ru\/new\/author\/dmitry\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/","og_locale":"ru_RU","og_type":"article","og_title":"Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b","og_description":"Yuri Diachenko, Nikolai Morozov, Leonid Plekhanov, Dmitri Stepchenkov, Denis Diachenko. Self-Timed Multiply-Add-Subtract Unit Cases \/\/ 2025 XVII International Conference on Actual Problems of Electronic Instrument Engineering (APEIE), 14-16 November, 2025. \u2013 IEEE, 6 p. DOI:\u00a010.1109\/APEIE66761.2025.11289383. Indexed in Scopus, \u0420\u0418\u041d\u0426. \u0424\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u0430\u044f \u043f\u043e\u0434\u0434\u0435\u0440\u0436\u043a\u0430: \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e \u0437\u0430 \u0441\u0447\u0435\u0442 \u0433\u0440\u0430\u043d\u0442\u0430 \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0444\u043e\u043d\u0434\u0430 \u2116 25-19-00508, https:\/\/rscf.ru\/project\/25-19-00508\/ \/ FundingAgency: The [&hellip;]","og_url":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/","og_site_name":"\u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b","article_published_time":"2025-11-17T08:06:00+00:00","article_modified_time":"2026-02-02T09:06:31+00:00","author":"Dmitry","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c":"Dmitry","\u041f\u0440\u0438\u043c\u0435\u0440\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0434\u043b\u044f \u0447\u0442\u0435\u043d\u0438\u044f":"2 \u043c\u0438\u043d\u0443\u0442\u044b"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#article","isPartOf":{"@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/"},"author":{"name":"Dmitry","@id":"http:\/\/selftiming.ru\/new\/#\/schema\/person\/34f78b9f03fb46fc07792e5ad5346e79"},"headline":"Self-Timed Multiply-Add-Subtract Unit Cases","datePublished":"2025-11-17T08:06:00+00:00","dateModified":"2026-02-02T09:06:31+00:00","mainEntityOfPage":{"@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/"},"wordCount":493,"publisher":{"@id":"http:\/\/selftiming.ru\/new\/#organization"},"articleSection":["2025","\u0414\u044c\u044f\u0447\u0435\u043d\u043a\u043e \u0414.\u042e.","\u041c\u043e\u0440\u043e\u0437\u043e\u0432 \u041d.\u0412.","\u041f\u043b\u0435\u0445\u0430\u043d\u043e\u0432 \u041b.\u041f.","\u0421\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u0430\u044f \u0441\u0445\u0435\u043c\u043e\u0442\u0435\u0445\u043d\u0438\u043a\u0430","\u0421\u0442\u0435\u043f\u0447\u0435\u043d\u043a\u043e\u0432 \u0414.\u042e.","\u0421\u0442\u0435\u043f\u0447\u0435\u043d\u043a\u043e\u0432 \u042e.\u0410.","\u0422\u0440\u0443\u0434\u044b \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0439"],"inLanguage":"ru-RU"},{"@type":"WebPage","@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/","url":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/","name":"Self-Timed Multiply-Add-Subtract Unit Cases - \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0443\u0442\u0438 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0430\u043f\u043f\u0430\u0440\u0430\u0442\u0443\u0440\u044b","isPartOf":{"@id":"http:\/\/selftiming.ru\/new\/#website"},"datePublished":"2025-11-17T08:06:00+00:00","dateModified":"2026-02-02T09:06:31+00:00","breadcrumb":{"@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#breadcrumb"},"inLanguage":"ru-RU","potentialAction":[{"@type":"ReadAction","target":["http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/"]}]},{"@type":"BreadcrumbList","@id":"http:\/\/selftiming.ru\/new\/2025\/11\/17\/self-timed-multiply-add-subtract-unit-cases\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u0413\u043b\u0430\u0432\u043d\u0430\u044f \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0430","item":"http:\/\/selftiming.ru\/new\/"},{"@type":"ListItem","position":2,"name":"Self-Timed Multiply-Add-Subtract Unit Cases"}]},{"@type":"WebSite","@id":"http:\/\/selftiming.ru\/new\/#website","url":"http:\/\/selftiming.ru\/new\/","name":"\u0421\u0430\u043c\u043e\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u0430\u044f \u0441\u0445\u0435\u043c\u043e\u0442\u0435\u0445\u043d\u0438\u043a\u0430","description":"","publisher":{"@id":"http:\/\/selftiming.ru\/new\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/selftiming.ru\/new\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ru-RU"},{"@type":"Organization","@id":"http:\/\/selftiming.ru\/new\/#organization","name":"\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a (\u0424\u0418\u0426 \u0418\u0423 \u0420\u0410\u041d)","url":"http:\/\/selftiming.ru\/new\/","logo":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"http:\/\/selftiming.ru\/new\/#\/schema\/logo\/image\/","url":"http:\/\/selftiming.ru\/new\/wp-content\/uploads\/2020\/05\/logo1.png","contentUrl":"http:\/\/selftiming.ru\/new\/wp-content\/uploads\/2020\/05\/logo1.png","width":466,"height":140,"caption":"\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a (\u0424\u0418\u0426 \u0418\u0423 \u0420\u0410\u041d)"},"image":{"@id":"http:\/\/selftiming.ru\/new\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"http:\/\/selftiming.ru\/new\/#\/schema\/person\/34f78b9f03fb46fc07792e5ad5346e79","name":"Dmitry","image":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"http:\/\/selftiming.ru\/new\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/79a99fd5653d363e926309aea81f1256fb9a6bed9c66fb84d3b735b626e46138?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/79a99fd5653d363e926309aea81f1256fb9a6bed9c66fb84d3b735b626e46138?s=96&d=mm&r=g","caption":"Dmitry"},"url":"http:\/\/selftiming.ru\/new\/author\/dmitry\/"}]}},"_links":{"self":[{"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/posts\/3579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/comments?post=3579"}],"version-history":[{"count":1,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/posts\/3579\/revisions"}],"predecessor-version":[{"id":3580,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/posts\/3579\/revisions\/3580"}],"wp:attachment":[{"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/media?parent=3579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/categories?post=3579"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/selftiming.ru\/new\/wp-json\/wp\/v2\/tags?post=3579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}