多变量逻辑函数式化简方法探讨

Discussion on the Simplification Method of Multivariable Logical Function

多变量逻辑函数式的化简在数字电路设计和优化中起到关键性作用,函数式越简单,其所表示的逻辑关系越明显,越有利于用最少的电子器件实现这个逻辑函数。对于多变量逻辑函数化简,该文分别以6变量逻辑函数和8线-3线编码器为例,通过介绍卡诺图化简法、互斥变量化简法、Q-M化简法以及Multisim软件仿真等化简方法,以展示多变量逻辑式化简的不同思路和方法。

The simplification of multivariable logical function plays a critical role in designing and optimizing digital circuits.The simpler the formula is,the more obvious the logical relationship it represents,and the more beneficial it is to realize this logical function with the least number of electronic devices.For the simplification of multivariable logic function,taking 6-variable logic function and 8-wire-3-wire encoder as examples,this paper introduces the simplification methods such as Karnaugh Map simplification method,Mutually Exclusive Variable simplification method,Q-M simplification method and Multisim software simulation,so as to show the different ideas and meth‐ods of multivariable logic simplification.