摘要
本文列出了n处自由投切电路的布尔真值表含表达式,详尽地分析了该电路的内在关系,乃一“同或”和“异或”门在投切下不断交替,揭示出函数为一偶数电路,可用有规律的有限个二阶变量矩阵连乘来表达,但其展开式十分冗长不便判别其函数值,当采用本文新定义的[0与门]运算判别,则可按二进制列出其表达式,立即判别其函数值,方法简便,且投切即构成逻辑关系,较典型的逻辑电路还要单一简化,可供设计逻辑电路时参考,本电路的实用性还在扩展中.
This paper lays out the Boolean Truth Table and its representations of free switching circuit at n positions, and analyses the internal relations of this circuit in detail. Then it reveals this function an even function at alternatively switching condition of'exclusive or' and'not exclusive or' circuit. The relations can be expressed by a multiplication of finite matrixes of 2^(nd) order, but its expansion is very complicate. It is very easy to determine the values of the function while applying the new definition given by this paper, namely[ZERO-AND] algorism and determination. Furthermore the switching circuit makes the logic relation at the same time, so it is very simple. This information may be used in designs of logic circuit and its practicality is developing now.
关键词
逻辑电路
布尔函数
真值表
Boolean functioni truth table
exclusive or
not exclusive or
