The high-speed reversible Fibonacci counter

Authors

  • Oleksii Dmytrovych Azarov Vinnytsia National Technical University
  • Oleksandr Ivanovych Cherniak Vinnytsia National Technical University
  • Oleksandr Hennadiiovych Murashchenko Ltd. "Vin-Interactive"

Abstract

Using the high-speed reversibleFibonacci counters for systems of direct digital synthesis of periodical analog signals, the principles of their organization and advantages are described in introduction. Research problems for this article are formulated. The properties of Fibonacci numerical system, which allow the direct and return count based on information redundancy, are analyzed. The transitions table for high-speed reversibleFibonacci counter is suggested. The logic relationships for building counter based on counting flip-flops, which have linear hardware increasing when orders is adding, is defined. The circuit of counter structural organization and time diagram of work are suggested. This counter was modeling in ActiveHDL. The all known scientific publications list for this problem are suggestedin end of article.

Author Biographies

Oleksii Dmytrovych Azarov, Vinnytsia National Technical University

Dean of the Faculty of Information Technologyand Computer Science, Doctor of Engineering

Oleksandr Ivanovych Cherniak, Vinnytsia National Technical University

Associate Professor of Computer Science, Ph.D.

Oleksandr Hennadiiovych Murashchenko, Ltd. "Vin-Interactive"

engineer

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How to Cite

[1]
O. D. Azarov, O. I. Cherniak, and O. H. Murashchenko, “The high-speed reversible Fibonacci counter”, ІТКІ, vol. 32, no. 1, pp. 27–32, Jul. 2015.

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