  We use the isomorphisms between the $R$-matrix and Drinfeld presentations of
the quantum affine algebras in types $B$, $C$ and $D$ produced in our previous
work to describe finite-dimensional irreducible representations in the
$R$-matrix realization. We also review the isomorphisms for the Yangians of
these types and use Gauss decomposition to establish an equivalence of the
descriptions of the representations in the $R$-matrix and Drinfeld
presentations of the Yangians.
