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A basic circuit, consisting of a diode modulator controlled by the signal from a diode detector, may perform logical AND, EXCLUSIVE-OR and OR functions upon pulsed microwave signals. Pulse rates up to 500 mc have been used at a carrier frequency of 11,000 mc. To demonstrate that microwave circuits may be used for the regeneration and circulating storage of pulses, as well as for logic, a digital arithmetic unit has been built which multiplies two 8-digit binary numbers. Various forms of the basic circuit have been studied in operation.