https://arxiv.org/abs/1908.06841 Skip to main content Cornell University We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate arxiv logo > cs > arXiv:1908.06841 [ ] Help | Advanced Search [All fields ] Search arXiv logo Cornell University Logo [ ] GO quick links * Login * Help Pages * About Computer Science > Hardware Architecture arXiv:1908.06841 (cs) [Submitted on 19 Aug 2019] Title:Ternary circuits: why R=3 is not the Optimal Radix for Computation Authors:Daniel Etiemble Download a PDF of the paper titled Ternary circuits: why R=3 is not the Optimal Radix for Computation, by Daniel Etiemble Download PDF Abstract:A demonstration that e=2.718 rounded to 3 is the best radix for computation is disproved. The MOSFET-like CNTFET technology is used to compare inverters, Nand, adders, multipliers, D Flip-Flops and SRAM cells. The transistor count ratio between ternary and binary circuits is generally greater than the log(3)/log(2) information ratio. The only exceptions concern a circuit approach that combines two circuit drawbacks (an additional power supply and a circuit conflict between transistors) and only when it implements circuits based on the ternary inverter. For arithmetic circuits such as adders and multipliers, the ternary circuits are always outperformed by the binary ones using the same technology. Comments: 9 pages, 18 figures Subjects: Hardware Architecture (cs.AR) Cite as: arXiv:1908.06841 [cs.AR] (or arXiv:1908.06841v1 [cs.AR] for this version) https://doi.org/10.48550/arXiv.1908.06841 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Daniel Etiemble [view email] [v1] Mon, 19 Aug 2019 14:50:54 UTC (1,241 KB) Full-text links: Access Paper: Download a PDF of the paper titled Ternary circuits: why R=3 is not the Optimal Radix for Computation, by Daniel Etiemble * Download PDF * PostScript * Other Formats (view license) Current browse context: cs.AR < prev | next > new | recent | 1908 Change to browse by: cs References & Citations * NASA ADS * Google Scholar * Semantic Scholar 1 blog link (what is this?) DBLP - CS Bibliography listing | bibtex Daniel Etiemble a export BibTeX citation Loading... BibTeX formatted citation x [loading... ] Data provided by: Bookmark BibSonomy logo Reddit logo (*) Bibliographic Tools Bibliographic and Citation Tools [ ] Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) [ ] Litmaps Toggle Litmaps (What is Litmaps?) [ ] scite.ai Toggle scite Smart Citations (What are Smart Citations?) ( ) Code, Data, Media Code, Data and Media Associated with this Article [ ] Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) [ ] DagsHub Toggle DagsHub (What is DagsHub?) [ ] Links to Code Toggle Papers with Code (What is Papers with Code?) [ ] ScienceCast Toggle ScienceCast (What is ScienceCast?) ( ) Demos Demos [ ] Replicate Toggle Replicate (What is Replicate?) [ ] Spaces Toggle Hugging Face Spaces (What is Spaces?) [ ] Spaces Toggle TXYZ.AI (What is TXYZ.AI?) ( ) Related Papers Recommenders and Search Tools [ ] Link to Influence Flower Influence Flower (What are Influence Flowers?) [ ] Connected Papers Toggle Connected Papers (What is Connected Papers?) [ ] Core recommender toggle CORE Recommender (What is CORE?) * Author * Venue * Institution * Topic ( ) About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) * About * Help * Click here to contact arXiv Contact * Click here to subscribe Subscribe * Copyright * Privacy Policy * Web Accessibility Assistance * arXiv Operational Status Get status notifications via email or slack