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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 29, Iss. 20 — Jul. 10, 1990
  • pp: 2981–2983

New technique of arithmetic operation using the positional residue system

S. Mukhopadhyay, A. Basuray, and A. K. Datta  »View Author Affiliations


Applied Optics, Vol. 29, Issue 20, pp. 2981-2983 (1990)
http://dx.doi.org/10.1364/AO.29.002981


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Abstract

A simplified arithmetic digitwise positional operation is proposed that uses only moduli 2 and 5 of the residue number system.

© 1990 Optical Society of America

History
Original Manuscript: August 16, 1988
Published: July 10, 1990

Citation
S. Mukhopadhyay, A. Basuray, and A. K. Datta, "New technique of arithmetic operation using the positional residue system," Appl. Opt. 29, 2981-2983 (1990)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-29-20-2981


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References

  1. A. P. Goutzoulis, “Complexity of Residue Position-Coded Lookup Table Array Processors,” Appl. Opt. 2823 (1987).
  2. R. P. Bocker, B. L. Drake, M. E. Lasher, T. B. Henderson, “Modified Signed-Digit Addition and Subtraction Using Optical Symbolic Substitution,” Appl. Opt. 25, 2456 (1986). [CrossRef] [PubMed]
  3. S. Mukhopadhyay, A. Basuray, A. K. Datta, “New Coding Scheme for Addition and Subtraction Using the Modified Signed-Digit Number Representation in Optical Computation,” Appl. Opt. 27, 1375 (1988). [CrossRef] [PubMed]
  4. A. P. Goutzoulis, E. C. Malarkey, D. K. Davies, J. C. Bradley, P. R. Beaudet, “Optical Processing with Residue LED/LD Lookup Tables,” Appl. Opt. 27, 1674 (1988). [CrossRef] [PubMed]
  5. C. D. Capps, R. A. Falk, T. L. Houk, “Optical Arithmetic/Logic Unit Based on Residue Arithmetic and Symbolic Substitution,” Appl. Opt. 27, 1682 (1988). [CrossRef] [PubMed]
  6. A. Huang, Y. Tsunoda, J. W. Goodman, S. Ishihara, “Optical Computation Using Residue Arithmetic,” Appl. Opt. 18, 149 (1979). [CrossRef] [PubMed]
  7. A. P. Goutzoulis, D. K. Davies, “On the Characteristics of Practical Optical Residue Look-Up Table Processor,” Proc. Soc. Photo-Opt. Instrum. Eng. 827, 226 (1987).
  8. C. Capps, R. Falk, T. Houk, “An Optical Arithmetic/Logic Unit Based on Residue Number Theory and Symbolic Substitution,” in Technical Digest, Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), paper MD4.
  9. M. M. Mirsalehi, J. Shamir, H. J. Caulfield, “Residue Arithmetic Processor Utilizing Optical Fredkin Gates,” Appl. Opt. 26, 3940 (1987). [CrossRef] [PubMed]
  10. N. S. Szabo, R. I. Tanaka, Residue Arithmetic and its Applications to Computer Technology (McGraw-Hill, New York, 1967).
  11. M. A. Maclean, D. Aspinall, “Decimal Adder Using Stored Addition Table,” Proc. IEE 105B(20), 129 (1958).

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