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A cellular array is a logical network of identical or almost identical cells, each of which contains a small amount of logic and storage, and, except for a few buses to the edge of the array, is connected only to its immediate neighbors. The cellular approach offers special advantages for realization by the forthcoming large-scale-integrated (LSI) technology. Such arrays are shown to be applicable for the encoding and decoding of binary error-correcting codes, and also for identifying the possibilities of tradeoffs between decoding time and equipment complexity. Arrays are presented for the decoding of single errors, burst errors, and erasures; the decoding of erasures is accomplished by the equation-solution approach, and it is shown for several code families that the Gauss elimination procedure is not required.