  In this paper we show that the number of all 1/2-BPS branes in string theory
compactified on a torus can be derived by universal wrapping rules whose
formulation we present. These rules even apply to branes in less than ten
dimensions whose ten-dimensional origin is an exotic brane. In that case the
wrapping rules contain an additional combinatorial factor that is related to
the highest dimension in which the ten-dimensional exotic brane, after
compactification, can be realized as a standard brane. We show that the
wrapping rules also apply to cases with less supersymmetry. As a specific
example, we discuss the compactification of IIA/IIB string theory on
$(T^4/{\mathbb{Z}_2}) \times T^n$.
