A multidimensional storage array (SA) system includes storage elements (SEs) arranged in storage array partitions, a plurality of input shifters, and a plurality of output shifters. One respective input shifter and output shifter is associated with one partition. The SEs are arranged into rows and columns and each store particular bit(s) of a data word. Each of the input shifters implements a positional shift to a data word that is then loaded to the associated partition. Each of the output shifters unloads a loaded data word, reverses the positional shift of the unloaded data word, and provides the data word to a requesting device, such as a decoder. The loaded data words are exposed so that multiple row or column addressed data words may be unloaded from the SA simultaneously in a single clock cycle. Multiple column or row address data word segments may be physically diagonally arranged within each storage array partition.