  Critical properties of the generalized spin-S magnetic binary alloys
represented by $A_{c}B_{1-c}$ have been investigated within the framework of
EFT. By inspecting the evolution of the phase diagrams with the concentration
for several spin values, general results have been obtained. Obtained results
cover the results obtained for special cases in the literature. Type of the
transition (first/second order), as well as the presence of the tricritical
point have been determined for general spin models. It has also been shown
that, the same critical concentration value exist in the system, regardless of
the spin value for binary alloy consist of half integer-integer spin alloy.
