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Journal ArticleDOI

Optical computation using residue arithmetic

TLDR
Using residue arithmetic it is possible to perform additions, subtractions, multiplications, and polynomial evaluation without the necessity for carry operations.
Abstract
Using residue arithmetic it is possible to perform additions, subtractions, multiplications, and polynomial evaluation without the necessity for carry operations. Calculations can, therefore, be performed in a fully parallel manner. Several different optical methods for performing residue arithmetic operations are described. A possible combination of such methods to form a matrix vector multiplier is considered. The potential advantages of optics in performing these kinds of operations are discussed.

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Citations
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Journal ArticleDOI

Digital optical computing

TL;DR: The paper begins with a review of analog, discrete, and binary methods of representing information in a computer, followed by a survey of many techniques for implementing binary combinatorial and sequential logic functions with individual optical devices and arrays of devices.
Journal ArticleDOI

On the physical limits of digital optical switching and logic elements

TL;DR: In this article, the authors identify and discuss some fundamental physical mechanisms that will provide limits on the speed, power dissipation, and size of optical switching elements, and present a discussion of some potential applications of optical switches.
Journal ArticleDOI

Modified-signed digit arithmetic using an efficient symbolic substitution.

TL;DR: An efficient symbolic substitution scheme for modified-signed digit arithmetic operations is introduced and the truth table minimization shows that relatively fewer minterms are to be included in the corresponding optical content-addressable memory.
Journal ArticleDOI

Conditional symbolic modified signed-digit arithmetic using optical content-addressable memory logic elements.

TL;DR: A new conditional symbolic substitution rule for modified signed-digit arithmetic computation is introduced, which is first replaced by a pair of new equivalent strings, which in a second step are subject to another substitution to generate both the addition or subtraction result and its complement.
PatentDOI

Optical residue arithmetic computer having programmable computation module

Anthony M. Tai
- 13 Aug 1980 - 
TL;DR: The concept of a programmable multipurpose computation module for residue arithmetic with very high throughput rate is introduced by the use of parallel computation structures and pipelining of sequential operations.
References
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Proceedings ArticleDOI

The residue number system

TL;DR: The residue code is probably of little utility for general-purpose computation, but the code has many characteristics which recommend its use for special-purpose computations.
Journal ArticleDOI

Electro‐optically switched coupler with stepped Δβ reversal using Ti‐diffused LiNbO3 waveguides

TL;DR: In this article, an experimental electro-optical switched directional coupler is reported which is formed in LiNbO3 by diffused Ti strip waveguides and uses stepped reversed phase mismatching to provide electrical adjustment of both switch states.
Journal ArticleDOI

Operations achievable with coherent optical information processing systems

TL;DR: This paper reviews the operations commonly achieved in the past, and discusses newer techniques which are capable of significantly extending the class of achievable operations.
Journal ArticleDOI

Incoherent optical correlators

TL;DR: A review of a variety of incoherent optical analog techniques for performing correlation and linear transform operations in scanning and nonscanning systems using spatial and/or temporal inputs are considered.
Journal ArticleDOI

Guided wave electrooptic devices for logic and computation

Taylor Hf
- 15 May 1978 - 
TL;DR: The use of guided wave optical components for performing logic and computation is proposed, using switches and intensity modulators fabricated on an electrooptic substrate for serial-parallel binary adder.
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