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A Note on the Conversion of Nonnegative Integers to the Canonical Signed-digit Representation

Signal Processing 2025-02-17 v2 Methodology

Abstract

This note addresses the signed-digit representation of nonnegative binary integers. Popular literature methods for the conversion into the canonical signed-digit representation are reviewed and revisited. A method based on string substitution is discussed.

Keywords

Cite

@article{arxiv.2501.10908,
  title  = {A Note on the Conversion of Nonnegative Integers to the Canonical Signed-digit Representation},
  author = {R. J. Cintra},
  journal= {arXiv preprint arXiv:2501.10908},
  year   = {2025}
}

Comments

6 pages, 1 figure, 3 tables. Fixed typos; clarified simulation methodology; re-calculated measurements; included number sequence