In a recent paper we have given the macroscopic and microscopic description
of the generating solution of toroidally compactified string theory BPS bl
ack holes. In this note we compute its corresponding microscopic entropy. S
ince by definition the generating solution is the most general solution mod
ulo U-duality transformations, this result accounts for the degeneracy of m
icrostates determining the entropy of any regular BPS black holes of toroid
ally compactified string (or M) theory.