The Diogo Sousa Algorithm: An Exact Triadic Identity Between Binary and Decimal Bases

This paper formalizes a previously undocumented exact identity that bridges power-of-two values with the decimal system. While the approximation 210 is approximately 103 is a cornerstone of computer science, the Diogo Sousa Algorithm provides an absolute identity valid for all n in R, decomposing any power of two into a triadic sum of decimal components scaled by binary factors.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-02
DOI
https://doi.org/10.5281/zenodo.19979308
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

The Diogo Sousa Algorithm: An Exact Triadic Identity Between Binary and Decimal Bases

Diogo Sousa
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

The Diogo Sousa Algorithm: An Exact Triadic Identity Between Binary and Decimal Bases

Diogo Sousa
article en

Abstract

This paper formalizes a previously undocumented exact identity that bridges power-of-two values with the decimal system. While the approximation 210 is approximately 103 is a cornerstone of computer science, the Diogo Sousa Algorithm provides an absolute identity valid for all n in R, decomposing any power of two into a triadic sum of decimal components scaled by binary factors.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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The Diogo Sousa Algorithm: An Exact Triadic Identity Between Binary and Decimal Bases — Diogo Sousa · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS