Cellular Automata Algorithms for String Sorting and Integer Multiplication According to the Atrubin Scheme


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Abstract

Being unavailable in the literature for the past few recent decades, the cellular automata formulations of some algorithms for sorting character and string arrays are considered here. A cellular automaton multiplying two integers written in a numeral system with an arbitrary basis is proposed for the first time. The algorithm is based on the Atrubin parallel multiplication scheme for a systolic array of processors and requires four components (registers) instead of five.

About the authors

I. V. Matyushkin

Institute for Design Problems in Microelectronics; National Research University of Electronic Technology; OAO Micron

Author for correspondence.
Email: imatyushkin@ippm.ru
Russian Federation, Moscow; Zelenograd, Moscow oblast; Zelenograd, Moscow oblast

A. V. Zhemerikin

National Research University of Electronic Technology

Email: imatyushkin@ippm.ru
Russian Federation, Zelenograd, Moscow oblast

M. A. Zapletina

National Research University of Electronic Technology

Email: imatyushkin@ippm.ru
Russian Federation, Zelenograd, Moscow oblast


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