A power supply arrangement is for supplying power to a chip core. A dc-dc converter arrangement is used both for a wake-up state of the core in preparation for an active state, and for a shut down charge recycling state in which the core supplies charge to the dc-dc converter. Thus, the dc-dc converter arrangement functions both to control powering on of the core in an efficient manner and the powering down of the core to implement charge recycling. In an active state, the core is supplied with power from the high power supply line