Abstract: Counter circuit apparatus which sequentially re-allocates lower-order counting operation in order to extend counter life. The counter is comprised of a plurality of lower order counters and at least one higher order counter. A count selection circuit is coupled to the plurality of counters which controls the counting thereof in response to applied event input signals. A map control circuit is coupled between the higher order counter and the count selection circuit which controls the count selection circuit in response to signals derived from the higher order counter. The map control circuit sequentially enables a predetermined one of the lower order counters to count individual ones of the applied event input signals. A count unscrambling circuit is coupled to the plurality of lower order counters and the map control circuit which produces an ordered count output signal that is indicative of the number of event input signals counted by the counter.