C-element: Difference between revisions

Revision as of 18:09, 13 January 2024

Revision as of 18:11, 13 January 2024

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-1 & \text{if}\ x_1+x_2+x_3 \leqslant -1

\end{cases}</math>

does not lead to the ternary C-element specified by the truth table, if the sum <math>x_1 + x_2 + x_3</math> is not split into pairs. However, even without such a splitting two ternary majority functions are suitable for building a ternary inclusive OR gate.

Both the Maevsky and Tsirlin circuits are based actually on so-called David cell.<ref>[https://ieeexplore.ieee.org/document/4244956 M. Courvoisier and P. Azema, "Asynchronous sequential machines with request/acknowledge operating mode," IEE Electronics Letters, Vol. 10, no. 1, pp.8-10, 1974.]</ref> Its fast transistor-level implementation is used in the semistatic C-element proposed.<ref>S. M. Fairbanks, [http://worldwide.espacenet.com/publicationDetails/originalDocument?CC=US&NR=6281707B1&KC=B1&FT=D&ND=3&date=20010828&DB=EPODOC&locale=en_EP "Two-stage Muller C-element"], United States Patent US6281707, Aug. 28, 2001.</ref> Yet another semistatic circuit using pass transistors (actually MUX 2:1) has been proposed.<ref>A. Morgenshtein, M. Moreinis, R. Ginosar, [http://webee.technion.ac.il/~ran/papers/Async-GDI-circuits-Nov02.pdf "Asynchronous gate-diffusion-input (GDI) circuits"], IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 12, no. 8, pp. 847–856, 2004.</ref>

Other technologies suitable for realizing asynchronous primitives including C-element, are: carbon nanotubes,{{Citation needed|date=December 2019|reason=removed citation to predatory publisher content}} single-electron tunneling devices,<ref>S. Safiruddin, S. D. Cotofana, [https://www.researchgate.net/profile/Sorin_Cotofana/publication/224326348_Building_Blocks_for_Delay-Insensitive_Circuits_using_Single_Electron_Tunneling_Devices/links/0c9605230deb723cac000000.pdf "Building blocks for delay-insensitive circuits using single electron tunneling devices"], IEEE Conference on Nanotechnology 2007, pp. 704–708.</ref> quantum dots,<ref>V. I. Varshavsky, [http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=494973 "Logic design and quantum challenge"], Int. Workshop on Physics and Computer Modeling of Devices Based on Low-Dimensional Structures 1995, pp. 134–146.</ref> and molecular nanotechnology.<ref>A. J. Martin, P. Prakash, [http://www.async.caltech.edu/Pubs/PDF/2008_nano.pdf "Asynchronous nano-electronics: Preliminary investigation"] {{Webarchive|url=https://web.archive.org/web/20160304122447/http://www.async.caltech.edu/Pubs/PDF/2008_nano.pdf |date=2016-03-04 }}, IEEE Int. Symposium on Asynchronous Circuits and Systems (ASYNC) 2008, pp. 58–68.</ref>