Abstract: An exponential multiplication power supply is described which is comprised of a plurality of stages each having the ability to store energy and each having a plurality of states, including at least a store state and a stack state. The plurality of stages are arranged in a network such that an input stage in the network is connected to receive a voltage from an external power source and all subsequent stages are connected to at least one other stage for receiving voltage from and through the other stages. A control mechanism is attached to the network stages and operates to place these stages in a repeating sequence of states such that at least one of the stages receives a voltage which is the sum of the voltages stored in at least two other stages. When a stage is receiving voltage or holding voltage it is said to be in the store state, and when a stage is combined with other stages to present an increased voltage, it is said to be placed in the stack state.