用变量矩阵引出卡诺图化简逻辑函数

Karnaugh map by Variable matrix and simplifying the logic function

逻辑函数表达式是描述数字电路输出输入关系的数学模型,逻辑函数的化简是分析和设计数字电路的重要步骤之一。目前,用卡诺图化筒逻辑函数仍是最常用的方法。作者用变量取值组合所构成的矩阵引出卡诺图;方法是将全部变量分成两组,各纽按只有一个变量取值不同的顺序排成一行和一列,得到的矩阵就是卡诺图。与现行的用最小项概念引出卡诺图的方法相比,理论性强,方法简便,特别是在多变量卡诺图的画法上,具有更明显的优越性。本文是工程数学应用于数字电路的一个突破。

The logic function formulation is a mathematical model that describes the digital logic circuit output and input,simplifying the logic function is one of important procedures when we analyre and design the logic digital circuit.At present,simplifying the logic function by Karnaugh map has been used usually.Author Can form the matrix by Variable Value and induce the Karnaugh map The method is to divide all Variables into two parts,each of parts is ranged a line and a rank in different order of only one variable value,The getting matrix is the Karnaugh map Comparing with the general Karnaugh map by the minimum item Concept,the method is very well in theory and very simple,particular drawing the more Variables Karnaugh map,it has more distinct superiority.The paper is an abreakthrough in the field where Engineering maths applies to the digital logic circuit.