  The mass hierarchies of quarks and charged leptons as well as a large
$\n_\m$-$\n_\t$ mixing angle are naturally explained by the Frogatt-Nielsen
mechanism with a nonparallel family structure of chiral charges. We extend this
mechanism to right-handed neutrinos. Their out-of-equilibrium decay generates a
cosmological baryon asymmetry whose size is quantized in powers of the
hierarchy parameter $\e^2$. For the simplest hierarchy pattern the neutrino
mass $\bar{m}_\n= (m_{\n_\m}m_{\n_\t})^{1/2} \sim 10^{-2}$ eV, which is
inferred from present indications for neutrino oscillations, implies a baryon
asymmetry $n_B/s \sim 10^{-10}$. The corresponding baryogenesis temperature is
$T_B \sim 10^{10}$ GeV.
