Limits on Exclusive Charmless Decays of the B Meson.

We have studied exclusive B meson decays, and set upper limits on many decays which would arise from processes other than the dominant b-to-c transition. We compare our limits on exclusive hadronic states arising from b-to-u transitions to those coming from b-to-c transitions and calculate limits on the ratio of the relevant Kobayashi -Maskawa matrix elements. We compare these limits with those found by other means. We compare our limits on hadronic and semileptonic b-to-s transitions with theoretical predictions made within the framework of the Standard Model. We examine some extensions to the Standard Model and their effect on these predictions. We also present limits on leptonic Flavor Changing Neutral Current decays of the B meson and one lepton number violating decay.