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Published in:
2014 | OriginalPaper | Chapter
Multiplier System in the Tile Assembly Model with Reduced Tileset-Size
Authors : Xiwen Fang, Xuejia Lai
Published in: Innovations in Bio-inspired Computing and Applications
Publisher: Springer International Publishing
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Previously a 28-tile multiplier system which computes the product of two numbers was proposed by Brun. However the tileset-size is not optimal. In this paper we prove that multiplication can be carried out using less tile types while maintaining the same time efficiency: we propose two new tile assembly systems, both can deterministically compute
A
*
B
for given
A
and
B
in constant time. Our first system requires 24 computational tile types while our second system requires 16 tile types, which achieve smaller constants than Brun’s 28-tile multiplier system.