A comparator comprises a current mirror, a differential input pair, and a auxiliary circuit. The current mirror has a biasing end coupled to a power voltage, a first end, and a current outputting end coupled to an output node of the comparator. The differential input pair has a first and second input ends for respectively receiving a first voltage and a second voltage, a second and third ends, and a ground end, wherein the third end is coupled to the first end. The auxiliary circuit is coupled between the output node and the second end, and provides a minimum voltage of a comparison result output at the output node. The comparison result is the power voltage when the first voltage is larger than the second voltage, and the comparison result is the minimum voltage when the first voltage is less than the second voltage.