  Various concepts and constructions in homotopy theory have been defined in
the digital setting. Although there have been several attempts at a definition
of a fibration in the digital setting, robust examples of these digital
fibrations are few and far between. In this paper, we develop a digital Hopf
fibration within the category of tolerance spaces. By widening our category to
that of tolerance spaces, we are able to give a construction of this digital
Hopf fibration which mimics the smooth setting.
