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Realization of Complex Arithmetic on Cellular Automata

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Parallel Computing Technologies (PaCT 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1662))

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Abstract

In this paper we develop a model of cellular automata for massive parallel arithmetic computations with complex numbers on a bit level, show that complex numbers should be represented in the second order negabinary coding system, and suggest a system of automaton rules for evaluating complex arithmetic expressions.

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References

  1. Bandman O. L., Cellular-Neural Computations. Formal Model and Possible Applications.-Parallel Computing Technologies: Third International Conference, PaCT-95, St. Petersburg, Russia, September 12-25, 1995. pp. 21–35.

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  2. Valkovskii V. A., Zerbino D. D. The Realization of Arithmetical Computation in Alternative Codes on Cellular Automata.-Problems of Information and Control, No 2, 1997, pp. 49–64. (in Russian).

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© 1999 Springer-Verlag Berlin Heidelberg

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Farid, T., Zerbino, D. (1999). Realization of Complex Arithmetic on Cellular Automata. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1999. Lecture Notes in Computer Science, vol 1662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48387-X_51

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  • DOI: https://doi.org/10.1007/3-540-48387-X_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66363-8

  • Online ISBN: 978-3-540-48387-8

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