  Effective dimension has proven very useful in geometric measure theory
through the point-to-set principle \cite{LuLu18}\ that characterizes Hausdorff
dimension by relativized effective dimension. Finite-state dimension is the
least demanding effectivization in this context \cite{FSD}\ that among other
results can be used to characterize Borel normality \cite{BoHiVi05}. In this
paper we prove a characterization of finite-state dimension in terms of
information content of a real number at a certain precision. We then use this
characterization to prove a finite-state dimension point-to-set principle.
