逻辑运算的算术实现

Logic Operation in Arithmetic

本文主要介绍对逻辑运算(与、或、非等)化为纯数学运算的一种方法。在变量繁多或者含有反馈的逻辑运算时,本方法可将其完全简化为数学上的简单算术运算的问题,而布尔代数则需要用到公式法进行化简,而且对含有反馈的逻辑运算只能逐步推导。本方法比布尔代数更为简单高效地解决逻辑问题(如逻辑理论、逻辑分析和逻辑设计等)。

The article introduces a method to transform logic operation （AND, OR, NO and so on） into pure mathe-matical operation. When a logic operation contains many a variable or has a feedback in it, the method could help us simplify it into a simple mathematical operation problems. However if we solve it in Boolean algebra, we have to use formulas to meet it. What＇s more, can only solve it step by step when the operation has a feedback in it. Therefore, Compared with Boolean algebra, this method is easier to solve problems （logic theory, logic analysis and logic design etc. ）