  Exact static spherically symmetric charged black holes in four dimensions are
presented. One of them has only electric charge and another electric and
magnetic charges. In these solutions the metric is asymptotically flat, has two
horizons, irremovable singularity only at $r=0$, and the dilaton field is
singular only at $r=0$. The solution with electric charge only is characterized
by three free parameters, the ADM mass, the electric charge and an additional
free parameter. It can be considered as a modification of the GHS-GM solution
obtained by changing the coupling between dilaton and electromagnetic field.
The general dyonic solution is again characterized by three free parameters,
the ADM mass, the magnetic charge and an additional free parameter, which is
not the electric charge. According to a definition of the no-hair conjecture
the solutions are "hairy".A very interesting special case of the dyonic
solution is characterized by three free parameters, the ADM mass and the
electric and the magnetic charges. The solutions satisfy the dominant as well
as the strong energy condition outside and on the external horizon.
