A thermopile is constructed using $10$ junctions of Chromel-Constantan ( sensitivity $60\mu V/^\circ C$ for each junction) connected in series. The output is fed to an amplifier having an infinite input impedance and a gain of $10$. The output from the amplifier is acquired using a $10-bit\;ADC$, with reference voltage of $5\;V$. The resolution of this system in units of $^{\circ}C$ is ____________.