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Fast optical binary multiplication using a sign/logarithm number system

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Abstract

A new fast binary multiplication scheme based on a nonholographic optical content-addressable memory (CAM) is presented. By using a sign/logarithm number (SLN) system, the multiplication operation is performed through a binary logarithmic addition. A three-stage CAM-based multiplication scheme is proposed in which the first CAM converts input binary numbers to SLN’s, the second CAM performs a fixed-point binary addition, and the third CAM converts this SLN result back to the binary number system. The design and experimental demonstration of a 7-bit nonholographic optoelectronic CAM-based multiplier are presented.

© 1991 Optical Society of America

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