The Structural Constant of Base 2: An Exact Triadic Identity Between Binary and Decimal Systems

This paper formalizes the Structural Constant of Base 2, a previously undocumented exact identity that bridges power-of-two values with the decimal system. While the approximation 2^10 ≈ 10^3 is a cornerstone of computer science, this discovery provides an absolute identity valid for all n ∈ ℝ, decomposing any power of two into a triadic sum of decimal components scaled by binary factors. The Identity:2^n = (2^(n-10) · 10^3) + (2^(n-9) · 10^1) + (2^(n-8) · 10^0)