展开定理与逻辑函数不同表示形式的转换原理  

Expansion theorem and the transformation principle of different representation forms of logic function

作　　者：马敬敏 MA Jing-min(Center for Experiment Adminsitration, Bohai University, Jinzhou 121013, China)

机构地区：[1]渤海大学实验管理中心,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2017年第4期337-340,共4页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金项目(No:61773074)

摘　　要：为探索逻辑表达式、真值表、卡诺图等几种逻辑函数表示形式之间的转换原理,分析研究了基于展开定理的对逻辑函数按变量展开的最小项表达式,给出了逻辑常量0、1取值和最小项的各个变量出现形式的对应关系,逻辑函数最小项表达式和真值表及卡诺图的对应关系,揭示了逻辑函数各种表示方法的内在联系,从而完善了逻辑函数表示方法的理论原理.所述方法,有助于逻辑函数的分析、变换方法的研究,具有较好的实用性.In order to explore the transformation principle of logical expression,truth table,karnaugh map and several other kinds of logic functions,the minimum expression based on the expansion theorem is analysed and studied,which comes from the variable of a logic function.In this minimum expression,four elements are given:the logic constants0and1,the correspondence between the logic constants and the different variables in the expression,the minimum expression of logic function,the truth table and the correspondence of karnaugh map.All the four elements reveal the inner relation to all of the expressions of logic function and improve their theoretical principle.The method is practical and helpful for the analysis and transformation of logical functions.

关 键 词：展开定理 逻辑函数表达式 真值表 卡诺图 

分 类 号：TP302.2[自动化与计算机技术—计算机系统结构]