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基于或-符合展开系数图的布尔差分计算
引用本文:李梅,赵美玲,沈继忠.基于或-符合展开系数图的布尔差分计算[J].科技通报,2006,22(5):684-688.
作者姓名:李梅  赵美玲  沈继忠
作者单位:1. 绍兴文理学院,机电系,浙江,绍兴,312000
2. 浙江大学,信息与电子工程系,杭州,310028
摘    要:分析了逻辑函数在部分变量取反时的或-符合展开系数图(即dj图)和降维或-符合展开系数图(即降维dj图),在此基础上提出了用dj图和降维dj图计算逻辑函数的一阶布尔差分和二阶布尔差分的图形方法。实例表明,该图形方法有直观、简单等特点。它能给出逻辑函数布尔差分的最简或/符合式。

关 键 词:dj图  降维dj图  布尔差分
文章编号:1001-7119(2006)05-0684-05
收稿时间:2005-04-15
修稿时间:2005年4月15日

Calculating of Boolean Difference Based on the Expansion Coefficient Map in OR-coincidence System
LI Mei,ZHAO Mei-ling,SHEN Ji-zhong.Calculating of Boolean Difference Based on the Expansion Coefficient Map in OR-coincidence System[J].Bulletin of Science and Technology,2006,22(5):684-688.
Authors:LI Mei  ZHAO Mei-ling  SHEN Ji-zhong
Institution:1. Department of Mechanical and Electrical Engineering, Shaoxing University, Shaoxing 312000, China; 2. Department of Information and Electronic Engineering, Zhejiang University, Hangzhou 310028, China
Abstract:The expansion coefficient map(also called dj map)in OR-coincidence system is introduced.And then the dj map and reduced-dimension dj map of a logic function with partial variables negated are discussed.Based on it,a graphic method of calculating first-order and second-order Boolean difference of a logic function by using dj map and reduced-dimension dj map is proposed.The examples prove that this method has the features of intuition and simplicity,by which the simplest OR/COINCIDENCE expression of Boolean difference can be obtained.
Keywords:dj map  reduced-dimension dj map  Boolean difference
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