  In an Information machine system's dynamics gets affected by the attached
information reservoir. Second law of thermodynamics can be apparently violated
for this case. In this article we have derived second law for an information
machine, when the system is connected to multiple heat baths along with a work
source and a single information reservoir. Here a sequence of bits written on a
tape is considered as an information reservoir. We find that the bath entropy
production during a time interval is restricted by the change of Shannon
entropy of the composite system (system + information reservoir) during that
interval. We have also given several examples where this law can be applicable
and shown that our bound is tighter.
