  We introduce a simple method to find localized exact fermionic zero modes for
any local fermionic action. The zero modes are attached to specific local gauge
configurations. Examples are provided for staggered and Wilson fermion actions
in 2-6 dimensions, at finite and infinite lattice volumes, and for abelian and
non-abelian gauge groups. One of our concrete results is that a finite density
of almost zero modes must occur in quenched four dimensional lattice gauge
theory simulations that use traditional methods. This density is exponentially
suppressed in the gauge coupling constant.
