1. A configurable logic integrated circuit device comprising: a plurality of configurable elements arranged in an at least two-dimensional structure, each of some of the plurality of configurable elements comprising: a plurality of data processing units that are configurable via at least one data processing function, wherein the some of the plurality of configurable elements are interconnectable by a plurality of configurable interconnections; and at least one memory element for storing data that is at least one of processed and to be processed by at least one of said plurality of data processing units, wherein the at least one memory element is operable in at least one of a first-in, first-out (FIFO) mode and local memory mode and includes: a memory; at least one address counter for generating a plurality of addresses in the first-in, first-out (FIFO) mode; a unit for controlling a FIFO state in the first-in, first-out (FIFO) mode; at least one address interface for receiving addresses from at least one other configurable element; a data interface for exchanging data with at least one other configurable element; and at least one multiplexer for selecting between the addresses received from the at least one address interface and addresses generated by the at least one address counter.