A boost converter includes an input terminal and an output terminal. A first switch is connected between a first intermediate node and a reference potential node. An inductive component is connected between the input terminal and the first intermediate node. A rectifying component is connected between the first intermediate node and a second intermediate node. A multi-state module is connected between the second intermediate node and the output terminal, and has at least a low resistance state and a high resistance state. A control module is coupled to the output terminal, the first switch and the multi-state module, and is operable in response to an output voltage to control the first switch and the multi-state module so that the first switch is open and the multi-state module is in the high resistance state if the output voltage is lower than a threshold value.