A system which can provide short-range wireless data communication between a base station and a portable low-power module. Each portable module has an identification field by which it can be addressed separately. The identification field (which is 64 bits long in the presently preferred embodiment) can be parallel polled: By commanding all modules within range to respond, the base station can see the 64-bit identification fields combined in what is almost a "wired-OR" fashion. That is, if any one of the portable modules within range is pulsing (reporting a "1" bit) in a given time window, the base station will see a pulse; the base station will see the absence of a pulse only if all of the modules within range are reporting a "0" bit (not pulsing). This can be used, for example, to implement combinatorial logic functions on all (or some subfields of) the 64-bit identification field.