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The preceding paper proposed a general-purpose digital computer structure consisting of many small iteratively connected sequential machines. A set of machine instructions was presented and a programming example of synchronous machine operation was given. This paper examines some of the problems associated with asynchronous operation of this iteratively structured digital computer. A solution is presented enabling the many small sequential machines which constitute the large iterative computer to communicate asynchronously. The instruction set outlined in the previous paper is maintained and a pictorial example of asynchronous operation is presented.