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It is suggested that the economics of present large-scale scientific computers could benefit from a greater investment in hardware to mechanize multiplication and division than is now common. As a move in this direction, a design is developed for a multiplier which generates the product of two numbers using purely combinational logic, i.e., in one gating step. Using straightforward diode-transistor logic, it appears presently possible to obtain products in under 1, Â¿sec, and quotients in 3 Â¿sec. A rapid square-root process is also outlined. Approximate component counts are given for the proposed design, and it is found that the cost of the unit would be about 10 per cent of the cost of a modern large-scale computer.