An optical four-bit parallel-shift register that consists of four serially connected optical flip-flop memories is driven by common clock pulses. Each optical flip-flop consists of two coupled polarization switches that share an all-optical demultiplexer, which makes the optical flip-flops easily connected with each other to form a parallel-shift register. The optical flip-flops are controlled by clock pulses. The parallel-shift register and an optical parallel adder are used to demonstrate an alloptical binary multiplier and its optical control circuit. The concept is demonstrated at an operation speed of 10 MHz for registers and 1 MHz for a multiplier, which is limited by long laser cavities formed by the optical fiber.
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