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Optical arithmetic using high-radix symbolic substitution rules

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2 Author(s)
Kai Hwang ; Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA ; Panda, D.K.

New optical representations and symbolic substitution (SS) rules are presented for performing high-radix arithmetic in optics. A set of SS rules is proposed for high-radix optical arithmetic, which satisfies the arithmetic completeness property. Tradeoff parameters like representational efficiency, projected speedup, and estimated implementation cost are analyzed. The SS mechanism together with the signed-digit (SD) representation reinforces massive parallelism in optics. A digit-plane architecture, blending very well with the SS technique and SD representation, is considered for implementing high-radix arithmetic. An optical adder, exploiting massive parallelism, is proposed. The set of SS rules and their implementations on a digit-plane architecture provide the basis for achieving pipelining, systolization, and online arithmetic in future optical computers

Published in:

Computer Arithmetic, 1989., Proceedings of 9th Symposium on

Date of Conference:

6-8 Sep 1989