Hydrodynamic simulations of the merger of stellar mass black hole-neutron star binaries are compared with mergers of binary neutron stars. The simulations are Newtonian but take into account the emission and backreaction of gravitational waves. The use of a physical nuclear equation of state allows us to include the effects of neutrino emission. For low neutron star-to-black hole mass ratios, the neutron star transfers mass to the black hole during a few cycles of orbital decay and subsequent widening before finally being disrupted, whereas for ratios near unity the neutron star is destroyed during its first approach. A gas mass between ∼0.3 and ∼0.7 M , is left in an accretion torus around the black hole and radiates neutrinos at a luminosity of several times 10 53 ergs s Ϫ1 during an estimated accretion timescale of about 0.1 s. The emitted neutrinos and antineutrinos annihilate into e ע pairs with efficiencies of 1%-3% and rates of up to ∼ ergs s Ϫ1 , thus depositing an energy 52 2 # 10 ergs above the poles of the black hole in a region that contains less than 10 Ϫ5 M , of baryonic matter.