Minterm tabular method of calculating c-derivative and c-partial derivative in Boolean functions(布尔C-导数及其偏导数的最小项表计算方法)

YUANJuming(袁菊明); ZHOUZhenfeng(周振峰); XIAOLinlong(肖林荣)

doi:10.3785/j.issn.1008-9497.2015.03.011

Zhejiang Daxue xuebao. Lixue ban (May 2015)

Minterm tabular method of calculating c-derivative and c-partial derivative in Boolean functions(布尔C-导数及其偏导数的最小项表计算方法)

YUANJuming(袁菊明),
ZHOUZhenfeng(周振峰),
XIAOLinlong(肖林荣)

Affiliations

YUANJuming(袁菊明): College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314000, Zhejiang Province, China(嘉兴学院机电工程学院，浙江　嘉兴　314000)
ZHOUZhenfeng(周振峰): College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314000, Zhejiang Province, China(嘉兴学院机电工程学院，浙江　嘉兴　314000)
XIAOLinlong(肖林荣): College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314000, Zhejiang Province, China(嘉兴学院机电工程学院，浙江　嘉兴　314000)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2015.03.011
Journal volume & issue: Vol. 42, no. 3
pp. 303 – 305

Abstract

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在逻辑函数布尔c-导数的基础上，引入了布尔c-偏导数的概念.为了简化布尔c-导数及其c-偏导数的计算，提出了基于逻辑函数最小项表的计算方法.该算法用最小项表列出1值最小项的二进制代码，然后对二进制代码中相应位取反变换产生新的最小项，再进行比较并删除新最小项中的重复项来计算c-导数和c-偏导数.实例展示了利用最小项表的计算过程.与代数法和图形法相比，该算法简单有效，当变量数较多时易于计算机编程实现.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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