Embodiments of the present invention include a family of multi-way switches that can be configured to output an input signal to any combination of n output signal lines. Certain embodiments of the present invention employ a memristive junction between the input signal and each output signal line, the state of which is configured by one or more control signal lines. The memristive junction between the input signal line and each output signal can be switched between a stable, low-conductance state and a high-conductance state. A wide variety of different types of multi-way switches may be fabricated according to various embodiments of the present invention.