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An investigation is made of the microprogramming approach to logical design of a digital machine. The digital processor designed performs general matrix manipulation and in particular is adapted to the requirements for implementing a Kalman-Weiner filter in a Track-While-Scan radar system. A timing and data-flow analysis is made and micro-programs written to implement the required macros for the selected benchmark application. A detailed comparison is made of the operation of the microprogrammed processor to that of a current general purpose avionics type computer of similar main memory cycle time. Some conclusions are made concerning the optimizing of various parameters of a microprogrammed computer design. (Author)