We propose a new parametrization of the quark mixing matrix (the Kobayashi-Maskawa matrix) in terms of four independent moduli of its matrix elements: /vert bar//ital V//sub /ital us///vert bar/, /vert bar//ital V//sub /ital cb///vert bar/, /vert bar//ital V//sub /ital td///vert bar/, and /vert bar//ital V//sub /ital ub///vert bar///vert bar/V/sub cb//vert bar/. Based on this convenient parametrization, we study the constraints on the top-quark mass and the quark mixing elements /vert bar//ital V//sub /ital ij///vert bar/ from the recent measurement of epsilon'/epsilon, the ARGUS result on /ital B//sub /ital d///sup 0/-/bar B/ /ital d//sup 0/ mixing, the ratio /vert bar//ital V//sub /ital ub///vert bar///vert bar/V/sub cb//vert bar/, and the mixing parameter epsilon in the /ital K//sup 0/-/ital K/bar // /sup 0/ system taking into account all the uncertainties in the input.