Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications

吴训威; 沈继忠

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Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications

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- Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications
- Acta Electronica Sinica Issue 2, (1995)
- 作者机构：
  
  杭州大学电子工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O159
- Published：1995
- 稿件说明：
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[1]吴训威,沈继忠.多值模代数中的减法与除法运算及其应用[J].电子学报,1995(02):49-52.

吴训威, 沈继忠. Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications[J]. Acta Electronica Sinica, 1995, (2).
[1]吴训威,沈继忠.多值模代数中的减法与除法运算及其应用[J].电子学报,1995(02):49-52. DOI：

吴训威, 沈继忠. Subtraction and Division Operations in Multiple-Valued Modulo-Algebra and Their Applications[J]. Acta Electronica Sinica, 1995, (2). DOI：

摘要

本文提出并讨论了模加与模乘运算的逆运算──模减与模除运算。它们的引入使模代数的取值域扩展到负数与分数，并以此建立相应的对称模代数与分数模代数系统，通过五值逻辑中函数表示的讨论，证明该二种新运算对建立一个功能完整的模代数系统是必要的。

Abstract

Modulo subtraction and modulo division

the inverse operations of modulo addition and modulo multiplication

are proposed and discussed.These two new operations extend the domain to negative and numeric for modulo-algebra

by which the symmetric modulo-algebra system and the numeric modulo-algebra system are esblished.By discussing the function expression of quinary logic

it is shown that these two new operations are necessary for founding a modulo-algebra system with complete functions.

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王伶俐

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Related Institution

Dept. Electronic Engineering, Hangzhou University

310028

杭州大学电子工程系

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