  We examine the decays $t\rightarrow c\gamma$ and $c Z^0$ in the Standard
Model with an extra scalar doublet and no discrete symmetry preventing
tree-level flavour changing neutral currents. The Yukawa couplings of the new
scalars are assumed to be proportional to fermion masses, evading bounds on
FCNC's from the light quark sector. These rare top decays may be visible at the
SSC.
