  This is the second in a series of articles on the numerical solution of
Friedrich's conformal field equations for Einstein's theory of gravity. We will
discuss in this paper the numerical methods used to solve the system of
evolution equations obtained from the conformal field equations. In particular
we discuss in detail the choice of gauge source functions and the treatment of
the boundaries. Of particular importance is the process of ``radiation
extraction'' which can be performed in a straightforward way in the present
formalism.
