Integer representation in the mixed base (2,3)

  • Authors:
  • A. V. Anisimov

  • Affiliations:
  • National Taras Shevchenko University, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2009

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Abstract

The mixed-base numeration system based on series of powers of the numbers 2 and 3 is introduced and investigated. Representation of numbers in this numeration system is a special case of recursive number decomposition into linear forms in the basis of orthogonal number sequences. A new universal robust prefix coding of integers with the help of this representation is presented that possesses an increased tolerance to transmission errors. Computational aspects of base (2,3) representation of numbers are considered.