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二、布尔代数的应用布尔代数的应用范围很广泛,其中明显的是它在形式逻辑、电路理论中的应用。这里我们简单介绍一下它在命题演算和开关电路方面的应用。1、命题演算布尔代数适用于形式逻辑而得命题演算(逻辑代数)。命题演算是数理逻辑研究中进行逻辑推理的数学工具,也是电子计算机进行逻辑设计的基础。所谓命题,我们指的是有具体意义,且能判定其真假的语句。例如:①数学是一门科学;②菱形的对角线互相垂直;③地球是方的;④423能被3整除;⑤已知数能被2整除等。
Second, the application of Boolean algebra Boolean algebra has a wide range of applications, of which it is obvious that it is in the application of formal logic, circuit theory. Here we briefly introduce its application in propositional calculus and switching circuits. 1. Propositional calculus Boolean algebra is applied to formal logic to obtain propositional calculus (logical algebra). Propositional calculus is a mathematical tool for logical reasoning in the study of mathematical logic, and it is also the basis for logical design of electronic computers. The so-called proposition, we refer to a statement that has a specific meaning and can determine its true and false. For example: 1 mathematics is a science; 2 diagonals of diamonds are perpendicular to each other; 3 Earth is square; 4423 is divisible by 3; 5 known numbers are divisible by 2 etc.