1. A configurable integrated circuit (“IC”) comprising: a plurality of reconfigurable circuits, each of the plurality of reconfigurable circuits for reconfigurably performing a plurality of operations in a plurality of reconfiguration cycles, wherein a first reconfigurable circuit is an interconnect/storage circuit that performs a storage operation during a first reconfiguration cycle and perform a non-storage operation during a second reconfiguration cycle, wherein a second reconfigurable circuit is an interconnect/storage circuit that performs a non-storage operation during the first reconfiguration cycle and perform a storage operation during the second reconfiguration cycle, and wherein the first and second reconfigurable circuits are communicatively coupled to operate as a data register during the first and second reconfiguration cycles.