基于布尔e导数的特殊逻辑函数检测方法  

Method of detecting special logic function based on Boolean e-derivative

作　　者：赵美玲[1] 

机构地区：[1]绍兴文理学院电气与信息工程系,浙江绍兴312000

出　　处：《浙江大学学报（理学版）》2014年第4期424-426,共3页Journal of Zhejiang University（Science Edition）

摘　　要：布尔代数中的特殊逻辑函数具有独特的性质,而布尔e导数是一种新的特殊运算.为探索简化数字电路实现的方法,在介绍线性函数、自双反函数以及布尔e导数概念的基础上,提出了利用布尔e导数判别线性函数和自双反函数的定理,给出了基于布尔e导数检测线性函数、自双反函数的方法,并通过3个实例,展示了应用该方法检测线性函数和自双反函数的过程.进一步拓宽了布尔e导数的应用领域.Special logic functions have their unique characteristics in Boolean algebra, and Boolean e-derivative is a novel special operation. To explore the method to simplify digital circuit realization, the definitions of linear function, self-dual function, Boolean e^derivative and their properties are introduced, and presenting two theorems. Based on Boolean e-derivative and these theorems, we give out a new method of detecting the linear function and self-dual function. Three examples are given to show the detecting processes by using the presented method. This article broadens the applications of Boolean e-derivative.

关 键 词：布尔e导数 特殊逻辑函数 线性函数 自双反函数 

分 类 号：TP331[自动化与计算机技术—计算机系统结构]