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Bounded algebra and current-mode digital circuits

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Abstract

This paper proposes two bounded arithmetic operations, which are easily realized with current signals. Based on these two operations, a bounded algebra system suitable for describing current-mode digital circuits is developed and its relationship with the Boolean algebra, which is suitable for representing voltagemode digital circuits, is investigated. Design procedure for current-mode circuits using the proposed algebra system is demonstrated on a number of common circuit elements which are used to realizd arithmetic operations, such as adders and multipliers.

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References

  1. Wu X, Hang G. Switching circuits based on comparison operations and multiple-β transistor.Science in China (Series E), 1997, 27(4): 353–361.

    Google Scholar 

  2. Wang S, Wu X, Feng H. The high speed ternary logic gates based on the multiple-β transistors. InIEEE Proc. of Int. Symp. Multiple Valued Logic, Bloomington, 1995, pp. 178–181.

  3. Dao T T. ThresholdI 2 L and its application to binary symmetric functions and multivalued logic.IEEE J. Solid State Circuits, 1977, 12(5): 463–472.

    Article  Google Scholar 

  4. Wu X, Chen X. The synthesis of ternary functions under fixed polarities and ternary I2L circuits. InIEEE Proc. Int. Symp. Multiple Valued Logic, Kyoto, 1983, pp. 424–429.

  5. Wu X, Deng X. Design of ternary I2L circuits based on ternary grounded current switches. InIEEE Proc. China Int. Conf. Circuits and Systems, 1991, pp. 936–939.

  6. Kawahito S, Kameyama M, Higuchi T, Yamada H. A 32 x 32 bit multiplier using multiple-valued MOS current-mode circuits.IEEE J. Solid State Circuits, 1988, 23(1): 124–132.

    Article  Google Scholar 

  7. Peyalo F Jet al. CMOS current-mode multiple-valued PLA’s.IEEE Transactions on Circuits and Systems, 1991, 38(4): 434–441.

    Article  Google Scholar 

  8. Current K W. Algorithmic of analogue-to-quaternary converter circuit using current-mode CMOS.Electronic Lett., 1992, 28(12): 1111–1112.

    Article  Google Scholar 

  9. Wu X, Deng X. Design of ternary current-mode CMOS circuits based on siwtch-signal theory.Journal of Electronics, 1993, 10(3): 193–202.

    MathSciNet  Google Scholar 

  10. Current K W. Current-mode CMOS multiple-valued logic circuits.IEEE J. Solid State Circuits, 1994, 29(2): 95–107.

    Article  Google Scholar 

  11. Weste N H E, Eshraghian K. Principles of CMOS VLSI Design: A Systems Perspective. 2nd Edition, Addison-Wesly Publishing Company, New York, 1993.

    Google Scholar 

  12. Wu X, Pedram M. Design of ternary CCD circuits refering to current-mode CMOS circuits. InIEEE Proc. ISMVL, Antigonish, 1997, pp. 209–214.

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Project supported by NNSF (No. 69573008) of China and NSF Grant (No. 53-4503-2694) of USA.

WU Xunwei graduated from Physics Department, Hangzhou University in 1962. Now he is the director of the Institute of Circuits and Systems, Ningbo University. He is also a guest Professor in the Department of Electronic Engineering, Zhejiang University and a Supervisor for Ph.D. candidates. He is the author of the book entitled “Design Principles of Multivalued Logic Circuits” and more than two hundred papers. Prof. Wu is a Senior Member of IEEE and the Vice-Director of MVL & FL Society, the China Computer Federation. His main research interests include multivalued logic circuit and systems, digital circuit design at switch level and low power digital circuits.

Massoud Pedram received the BS degree in Electrical Engineering from California Institute of Technology and MS and Ph.D. degrees in Electrical Engineering and Computer Sciences from the University of California, Berkeley in 1989 and 1991, respectively. He then joined the Department of Electrical Engineering Systems at the University of Southern California where he is currently an Associate Professor. Prof. Pedram is the author of two books and more than one hundred papers. He has been the committeeman of IEEE DAC program committee since 1992, and he is one of the founders of International Symposium on Low Power Design. He is a Member of IEEE Circuits and Systems Society and ACM — SIGDA. His research interests include logic synthesis, computer-aided design of VLSI circuits and systems and low power VLSI design.

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Wu, X., Pedram, M. Bounded algebra and current-mode digital circuits. J. Comput. Sci. & Technol. 14, 551–557 (1999). https://doi.org/10.1007/BF02951874

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  • DOI: https://doi.org/10.1007/BF02951874

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