JSW 2010 Vol.5(1): 123-130 ISSN: 1796-217X
doi: 10.4304/jsw.5.1.123-130
doi: 10.4304/jsw.5.1.123-130
Turing Compute Model for Non-negative Binary Numbers
Chen Wenyu, Wang Xiaobin, Cheng Xiaoou, Sun Shixin
School of Computer Science and Engineering, University of Electronic Science & Technology of China, Chengdu,
Sichuan, China
Abstract—Turing-computable issue is important in research of Turing Machine and has significant value in both theory and practice. The paper analyzes Turing-computable issue of non-negative numbers by relational operations(includes greater than, less than and equal) and arithmetic operations(includes add operation, subtract, multiply, divide and modulo). The regulation of computing 1-bit binary number and the carry set(or borrow set) are defined to compute multi-bit binary numbers. Algorithms are described through multi-tape Turing machine. For some operations, the discussion is extended to base-N number system(3
Abstract—Turing-computable issue is important in research of Turing Machine and has significant value in both theory and practice. The paper analyzes Turing-computable issue of non-negative numbers by relational operations(includes greater than, less than and equal) and arithmetic operations(includes add operation, subtract, multiply, divide and modulo). The regulation of computing 1-bit binary number and the carry set(or borrow set) are defined to compute multi-bit binary numbers. Algorithms are described through multi-tape Turing machine. For some operations, the discussion is extended to base-N number system(3
General Information
ISSN: 1796-217X (Online)
Frequency: Quarterly
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, CNKI, Google Scholar, ProQuest, INSPEC(IET), ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsweditorialoffice@gmail.com
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