We demonstrate that gravitational collapse, analyzed via the execution trace of a computational simulation, converges to a zero-entropy state at the classical singularity. This result holds for both Schwarzschild and Kerr geometries, remaining independent of the simulation architecture and discretization scheme. The metric suite deployed herein successfully functions as a structural phase detector. Specifically, the bit and block entropies capture the overarching loss of coordinate volume. This zero-entropy state admits a precise geometric interpretation: it corresponds to a single, structureless point incapable of supporting microstructure, matter, or distinguishable geometry. Consequently, the singularity represents not a breakdown of physics, but rather a minimally trivial geometric configuration. These findings suggest that black hole information can be modeled as 2n bitstrings arranged in order of decreasing entropy. The zero-entropy extremum maps to the black hole singularity, while the opposing extremum corresponds to the state of maximum entropy. Between these two bounds, the entropic trajectory follows the time-reversed evolution of a typical emergent, relaxing thermodynamic system progressing from zero entropy toward full equilibrium. from zero entropy towards full equilibrium.