This thesis deals with the design of a simple time-sharing arbitrary-function generator to be used in a proposed real-time simulation computer. The generator automatically sums a predetermined difference table describing the function and thus generates the function at equal intervals of the independent variable. First, second and third differences are available for interpolation. The generator uses a decimal code which is further reduced to individual digits. Separate handling of the individual digits and a quantizing operation permit the function generator to be easily realized by simple circuitry. The quantized information appears as a pulse-duration - modulated wave which can be easily stored on a magnetic drum and can be readily trans...