We present the final results of the spin asymmetries ${A}_{1}$ and the spin structure functions ${g}_{1}$ of the proton and the deuteron in the kinematic range $0.0008<x<0.7$ and $0.2<{Q}^{2}<100{\mathrm{GeV}}^{2}.$ For the determination of ${A}_{1},$ in addition to the usual method which employs inclusive scattering events and includes a large radiative background at low x, we use a new method which minimizes the radiative background by selecting events with at least one hadron as well as a muon in the final state. We find that this hadron method gives smaller errors for $x<0.02,$ so it is combined with the usual method to provide the optimal set of results.