  Maxwell refrigerator as a device that can transfer heat from a cold to hot
temperature reservoir making use of information reservoir was introduced by
Mandal et al. \cite{Mandal2013a}. The model has a two state demon and a bit
stream interacting with two thermal reservoirs simultaneously. We work out a
simpler version of the refrigerator where the demon and bit system interact
with the reservoirs separately and for a duration long enough to establish
equilibrium. The efficiency, $\eta$, of the device when working as an engine as
well as the coefficient of performance (COP) when working as a refrigerator are
calculated. It is shown that the maximum efficiency matches that of a Carnot
engine/refrigerator working between the same temperatures, as expected. The COP
at maximum power decreases as $\frac{1}{T_h}$ when $T_h >T_c \gg \Delta E$
($k_B = 1$), where $T_h$ and $T_c$ are the temperatures of the hot and cold
reservoirs respectively and $\Delta E$ is the level spacing of the demon.
$\eta$ at maximum power of the device, when working as a heat engine, is found
to be $\frac{T_h}{0.779 + T_h}$ when $T_c \ll \Delta E$ and $T_h \gg \Delta E$.
