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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 9 — May. 1, 1988
  • pp: 1682–1686

Optical arithmetic/logic unit based on residue arithmetic and symbolic substitution

C. David Capps, R. Aaron Falk, and Theodore L. Houk  »View Author Affiliations


Applied Optics, Vol. 27, Issue 9, pp. 1682-1686 (1988)
http://dx.doi.org/10.1364/AO.27.001682


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Abstract

There has been difficulty in achieving a fully parallel, digital optical adder or multiplier. The primary obstacle is the carry operation inherent in any fixed-radix number system. The concepts of residue number representation and symbolic substitution can be combined to produce a parallel optical arithmetic/logic unit.

© 1988 Optical Society of America

History
Original Manuscript: July 15, 1987
Published: May 1, 1988

Citation
C. David Capps, R. Aaron Falk, and Theodore L. Houk, "Optical arithmetic/logic unit based on residue arithmetic and symbolic substitution," Appl. Opt. 27, 1682-1686 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-9-1682


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References

  1. See, for example, Technical Digest, Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987).
  2. D. Casasent, “Hybrid Optical/Digital Image Pattern Recognition: A Review,” Proc. Soc. Photo-Opt. Instrum. Eng. 528, 64 (1985).
  3. H. J. Whitehouse, J. Speiser, “Linear Signal Processing Architectures,” in Aspects of Signal Processing with Emphasis of Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hinghan, MA, 1977).
  4. D. Psaltis, R. A. Athale, “High Accuracy Computation wit Linear Analog Optical Systems: A Critical Study,” Appl. Opt. 25, 3071 (1986). [CrossRef] [PubMed]
  5. A. Huang, “Parallel Algorithms for Optical Digital Computers,” in Technical Digest, IEEE Tenth International Optical Computing Conference (1983), p. 13.
  6. K.-H. Brenner, A. Huang, N. Streibl, “Digital Optical Computing With Symbolic Substitution,” Appl. Opt. 25, 3054 (1986). [CrossRef] [PubMed]
  7. 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]
  8. N. S. Szabo, R. I. Tanaka, Residue Arithmetic and Its Applications to Computer Technology (McGraw-Hill, New York, 1967).
  9. I. Niven, H. S. Zuckerman, An Introduction to the Theory of Numbers (Wiley, New York, 1980).

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