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Rectangular hysteresis‐loop magnetic materials are widely used at present for the storage of digital information. The principles involved in static magnetic storage are generalized in this paper so that magnetic cores may be used for the purpose of switching. Magnetic circuits to produce the logical operations of ``and'' and ``or'' are described. The ``and'' and ``or'' circuits are combined into a class of circuits capable of producing any switching function of any number of input binary variables. All of the magnetic switching circuits described are devoid of rectifiers, vacuum tubes, transistors, and the like. Furthermore, these circuits are essentially independent of pulse amplitudes and durations.