A family of reconfigurable, charge-conserving asynchronous logic elements that interact with their nearest neighbors permits design and implementation of circuits that are asynchronous at the bit level, rather than at the level of functional blocks. These elements pass information by means of charge packets (tokens), rather than voltages. Each cell is self-timed, and cells that are configured as interconnect perform at propagation delay speeds, so no hardware non-local connections are needed. An asynchronous logic element comprises a set of edges for asynchronous communication with at least one neighboring cell, each edge having an input for receiving tokens from neighboring cells and an output for transferring an output charge packet to at least one neighboring cell, and circuitry configured to perform a logic operation utilizing received charge packets as inputs and to produce an output charge packet reflecting the result of the logic operation.