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The paper formalizes an exact identity connecting binary and decimal systems, suggesting new mathematical insights.
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.
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Diogo Sousa (2026) studied this question.
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