A computing system using a bit counter may include a host device; a cache configured to temporarily store data of the host device, and including a plurality of sets; a cache controller configured to receive a multi-bit cache address from the host device, perform computation on the cache address using a plurality of bit counters, and determine a hash function of the cache; a semiconductor device; and a memory controller configured to receive the cache address from the cache controller, and map the cache address to a semiconductor device address.