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http://dx.doi.org/10.3745/KIPSTA.2004.11A.2.115

Implementation of Multiple-Valued Adder and Multiplier Using Current-Mode CMOS  

Seong, Hyeon-Kyeong (상지대학교 컴퓨터·정보공학부)
Abstract
In this paper, the multiple-valued adders and multipliers are implemented by current-mode CMOS. First, we implement the 3-valued T-gate and the 4-valued T-gate using current-mode CMOS which have an effective availability of integrated circuit design. Second we implement the circuits to be realized 2-variable 3-valued addition table and multiplication table over finite fields $GF(3^2)$, and 2-variable 4-valued addition table and multiplication table over finite fields $GF(4^2)$ with the multiple-valued T-gates. Finally, these operation circuits are simulated under $1.5\mutextrm{m}$ CMOS standard technology, $15\mutextrm{A}$ unit current, and 3.3V VDD voltage Spice. The simulation results have shown the satisfying current characteristics. The 3-valued adder and multiplier, and the 4-valued adder and multiplier implemented by current-mode CMOS is simple and regular for wire routing and possesses the property of modularity with cell array. Also, since it is expansible for the addition and multiplication of two polynomials in the finite field with very large m, it is suitable for VLSI implementation.
Keywords
Multiple-Valued Logic; Current-Mode CMOS; Finite Fields, GF $(p^m)$; T-gate; Multiple-Valued Adder; Multiple-Valued Multiplier;
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1 K. C. Smith, 'Multiple-Valued Logic : a Tutorial and Application,' IEEE Computer Mag., pp.17-27, Apr., 1987   DOI   ScienceOn
2 Z. G. Vranesic, E. S. Lee and K. C. Smith, 'A ManyValued Algebra for Switching Systems,' IEEE Trans. Computer, Vol.C-19, pp.964-971, Oct., 1970   DOI   ScienceOn
3 K. C. Smith, 'The Prospects for Multi-Valued Logic : A Technology and Applications View,' IEEE Trans. on Computer, Vol.C-30, pp.619-634, Sept., 1981   DOI   ScienceOn
4 S. L. Hurst, 'Multiple-Valued Logic~Its Status and Its Future,' IEEE Trans. Computer, Vol.C-33, pp.1160-1170, Dec., 1984   DOI   ScienceOn
5 C. Moraga and W. Wang, 'Evolutionary Methods in the Design of Quaternary Digital Circuits,' IEEE Proc. of 28th International Symposium on Multiple-Valued Logic, Fukuoka, Japan, pp.89-94, May, 1998   DOI
6 K. W. Current, 'Current-Mode CMOS Multiple-Valued Logic Circuits,' IEEE J. Solid-State Circuits, Vol.29, No.2, pp.95-107, Feb., 1994   DOI   ScienceOn
7 T. Hanyu, M. Kameyama, T. Higuchi, 'Prospects of Multiple-Valued VLSI Processors,' IEICE Trans. Electron, Vol.E76-C, No.3, pp.383-392, Mar., 1993
8 S. P. Onneweer jand H. G. Kerkhoff, 'Current-Mode CMOS High-Radix Circuits,' IEEE Proc. of 16th International Symposium on Multiple-Valued Logic, Virginia, USA, pp.60-69, May, 1986
9 J. T. Butler, J. H. Pugsley, C. B. Silio, Jr., 'High-Speed Multiplier Uses 50 Percent Less Chip Area and Power,' IEEE Computer Mag., Vol.20, No. 8, pp.109-110, Aug., 1987
10 T. Yamakawa, T. Miki and F., 'The Design and Fabrication of the Current Mode Fuzzy Logic Semicustom IC in Standard CMOS IC Technology,' IEEE Proc. of 15th International Symposium on Multiple Valued Logic, Kingston, Ontario, Canada, pp.76-82, May, 1985
11 T. Uemura and T. Baba, 'A Three-Valued D-Flip-Flop and Shift Register Using Multiple-Junction Surface Tunnel Transistors,' IEEE Proc. of 31st International Symposium on Multiple-Valued Logic, Warsaw, Poland, pp.89-93, May, 1998   DOI
12 B. Fraser and G. W. Dueck, 'Multiple-Valued Logic Minimization Using Universal Literals and Cost Tables,' IEEE Proc. of 28th International Symposium on Multiple-Valued Logic, Fukuoka, Japan, pp.239-244, May, 1998   DOI
13 T. Ike, T.Hanyu and M. Kameyama, 'Fully SourceCoupled Logic Based Multiple-Valued VLSI,' IEEE Proc. of 32nd International Symposium on Multiple-Valued Logic, Boston, Massachusetts, USA, pp.270-275, May, 2002
14 N.Weste and K. Eshraghian, Principles of CMOS VLSI Design : A Systems Perspective, Addison-Wesley, Reading, Massachusetts, USA, 1993
15 Z. Zilic and Z. Branesic, 'Current-Mode CMOS Galois Field Circuits,' IEEE Proc. of 23rd International Symposium on Multiple-Valued Logic, Sacramento, CA, USA, pp.245-250, May, 1993   DOI
16 T. Uemura and T. Baba, 'Demonstration of a Novel Multiple-Valued T-Gate Using Multiple-Junction Surface Tunnel Transistors and Its Application to Three-Valued Data Flip-Flop,' IEEE Proc. of 30th International Symposium on Multiple-Valued Logic, Portland, USA, pp.305-310, May, 2000   DOI
17 S. Lin and D. J. Costello, Jr., Error Control Coding Fundamentals and Applications, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1983
18 R. Lidl, H. Nieder and P. M. Cohn, Finite Fields, Addison-Wesley, Reading, Massachusetts, USA, 1983
19 C. M. Allen and D. D. Givone, 'A Minimization Technique for Multiple-Valued Logic Systems,' IEEE Trans. Computer, Vol.C-17, pp.182-184, Feb., 1968   DOI