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Efficient trinary signed-digit symbolic arithmetic

โœ Scribed by Alam, Mohammad S.


Book ID
115420174
Publisher
Optical Society of America
Year
1994
Tongue
English
Weight
383 KB
Volume
19
Category
Article
ISSN
0146-9592

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The trinary signed-digit (TSD) number system is of interest for ultrafast optoelectronic computing systems since it permits parallel carry-free addition and borrow-free subtraction of two arbitrary length numbers in constant time. In this paper, a simple coding scheme is proposed to encode the decim

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A simple one-step fully parallel trinary signed-digit arithmetic is proposed for parallel optical computing. This technique performs multidigit carry-free addition and borrow-free subtraction in constant time. The trinary signed-digit arithmetic operations are based on redundant bit representation o

Optoelectronic symbolic substitution bas
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A single-step optoelectronics symbolic substitution scheme to handle parallel modified signed-digit (MSD) arithmetic operations is proposed. Conversion algorithms from MSD numbers into a canonical MSD representation are provided. The canonical MSD numbers have the property that no two consecutive di