Journal ArticleDOI
Optical arithmetic/logic unit based on residue arithmetic and symbolic substitution.
TLDR
The concepts of residue number representation and symbolic substitution can be combined to produce a parallel optical arithmetic/logic unit.Abstract:
There has been difficulty in achieving a fully parallel, digital optical adder or multiplier. The primary obstacle is the carry operation inherent in any fixed-radix number system. The concepts of residue number representation and symbolic substitution can be combined to produce a parallel optical arithmetic/logic unit.read more
Citations
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Proceedings ArticleDOI
Digital Optical Computing With Symbolic Substitution
TL;DR: Fundamentals of symbolic substitution and its applications are presented and the potential of this kind of logic ranges from parallel binary arithmetic to a programmable MIMD processor.
Digital optics
Norbert Streibl,Karl-Heinz Brenner,Alan Huang,Jürgen Jahns,J. Jewell,Adolf W. Lohmann,David A. B. Miller,Miles J. Murdocca,Michael Edward Prise,T. Sizer +9 more
TL;DR: The authors discuss digital optics, a technology for processing, transport, and storage of optical digital information, which offers both the high temporal bandwidth of fiber communications and the high connectivity and information density of optical imaging.
Journal ArticleDOI
Programmable Optoelectronic Multiprocessors And Their Comparison With Symbolic Substitution For Digital Optical Computing
Fouad Kiamilev,Sadik C. Esener,Ramamohan Paturi,Y. Fainmar,P. Mercier,Clark Guest,Sing H. Lee +6 more
TL;DR: Programmable optoelectronic multiprocessor (POEM) systems provide the architectural flexibility for good computational efficiency, use an energy-efficient combination of technologies, and support traditional programming methodologies and fault tolerance.
Journal ArticleDOI
Image algebra representation of parallel optical binary arithmetic.
TL;DR: A binary image algebra (BIA) that gives a mathematical description of parallel processing operations is described and examples of arithmetic operations implemented on a digital optical cellular image processor architecture are given.
Journal ArticleDOI
Optical processing with residue LED/LD lookup tables
TL;DR: The design of practical miniaturized LUTs is described along with results obtained from a prototype 7 x 7 laser diode LUT, and a factored m(2) LUT technique that achieves large dynamic range.
References
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Book
An introduction to the theory of numbers
Ivan Niven,H. S. Zuckerman +1 more
TL;DR: Divisibility congruence quadratic reciprocity and Quadratic forms some functions of number theory some diophantine equations Farey fractions and irrational numbers simple continued fractions primes and multiplicative number theory algebraic numbers the partition function the density of sequences of integers.
Journal ArticleDOI
Digital optical computing with symbolic substitution.
TL;DR: Examples demonstrate how symbolic substitution logic can be used to implement Boolean logic, binary arithmetic, cellular logic, and Turing machines.
Journal ArticleDOI
Modified signed-digit addition and subtraction using optical symbolic substitution
Journal ArticleDOI
High accuracy computation with linear analog optical systems: a critical study.
TL;DR: It is concluded that the use of linear analog optical processors in performing digital computations with DMAC leads to impractical requirements for the accuracy of analog optical systems and the complexity of postprocessing electronics.