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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 20 — Jul. 10, 1994
  • pp: 4378–4382

Symmetrically recoded modified signed-digit optical addition and subtraction

Abdallah K. Cherri  »View Author Affiliations


Applied Optics, Vol. 33, Issue 20, pp. 4378-4382 (1994)
http://dx.doi.org/10.1364/AO.33.004378


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Abstract

Symmetrically recoded modified signed-digit number algorithms are proposed for carry-free arithmetic. The superiority of the new algorithms is established over all other two-step-based symbolic-substitution optical implementations.

© 1994 Optical Society of America

History
Original Manuscript: October 26, 1992
Revised Manuscript: January 24, 1994
Published: July 10, 1994

Citation
Abdallah K. Cherri, "Symmetrically recoded modified signed-digit optical addition and subtraction," Appl. Opt. 33, 4378-4382 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-20-4378


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References

  1. E. L. Johnson, M. A. Karim, Digital Design: A Pragmatic Approach (PWS-Kent, Boston, Mass., 1987), pp. 143–148.
  2. J. R. Jump, S. R. Ahuja, “Effective pipelining of digital systems,” IEEE Trans. Comput. C-27, 855–862 (1978). [CrossRef]
  3. A. Avizienis, “Signed-digit number representations for fast parallel arithmetic,” IRE Trans. Electron. Comput. EC-10, 389–400 (1961). [CrossRef]
  4. B. L. Drake, R. P. Bocker, M. E. Lasher, R. H. Patterson, W. J. Miceli, “Photonic computing using the modified signed-digit number representation,” Opt. Eng. 25, 38–43 (1986).
  5. 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, 2456–2457 (1986). [CrossRef] [PubMed]
  6. Y. Li, G. Eichmann, “Conditional symbolic modified-signed-digit arithmetic using optical content-addressable memory logic elements,” Appl. Opt. 26, 2328–2333 (1987). [CrossRef] [PubMed]
  7. A. K. Cherri, M. A. Karim, “Modified signed digit arithmetic using an efficient symbolic substitution,” Appl. Opt. 27, 3824–3827 (1988). [CrossRef] [PubMed]
  8. A. K. Cherri, M. A. Karim, “Simplified arithmetic for optical symbolic substitution,” Microwave Opt. Tech. Lett. 1, 310–312 (1988). [CrossRef]
  9. A. K. Cherri, M. A. Karim, “Symbolic substitution based flagged arithmetic using polarization-encoded optical shadow-casting system,” Opt. Commun. 70, 455–461 (1989). [CrossRef]
  10. Y. Li, D. H. Kim, A. Kostrzewski, G. Eichmann, “Content-addressable-memory-based single stage optical modified-signed-digit arithmetic,” Opt. Lett. 14, 1254–1256 (1989). [CrossRef] [PubMed]
  11. A. A. S. Awwal, M. A. Karim, “Polarization-encoded optical shadow-casting: design of a carry-free adder,” Appl. Opt. 28, 785–790 (1989). [CrossRef] [PubMed]
  12. S. Barua, “Single-stage optical adder/subtracter,” Opt. Eng. 30, 265–270 (1991). [CrossRef]
  13. M. S. Alam, M. A. Karim, A. A. S. Awwal, J. J. Westerkamp, “Optical processing based on conditional higher-ordertrinary modified signed-digit symbolic substitution,” Appl. Opt. 31, 5614–5621 (1992). [CrossRef] [PubMed]
  14. F. T. S. Yu, S. Jutamulia, “Implementation of symbolic substitution logic using optical associative memories,” Appl. Opt. 26, 2293–2294 (1987). [CrossRef] [PubMed]
  15. T. K. Gaylord, M. M. Mirsalehi, “Truth-table look-up processing: number representation, multilevel coding, and logical minimization,” Opt. Eng. 25, 22–33 (1986).
  16. M. M. Mirsalehi, T. K. Gaylord, “Logical minimization of multilevel coded functions,” Appl. Opt. 25, 3078–3088 (1986). [CrossRef] [PubMed]
  17. A. Huang, “Parallel algorithm for optical digital computer,” Proc. IEEE 71, 13–17 (1983).
  18. B. Parhami, “Carry-free addition of recoded binary signed-digit numbers,” IEEE Trans. Comput. C-7, 1470–1476 (1988). [CrossRef]
  19. A. A. S. Awwal, “Recoded signed-digit binary addition-subtraction using optoelectronic symbolic substitution,” Appl. Opt. 31, 3205–3208 (1992). [CrossRef] [PubMed]

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