摘要
本文提出一个克服布尔代数失效的电路三要素理论。文中首先分析布尔代数在数字电路中失效的原因,接着证明开关运算定理等,它概括了文献中曾需一一证明的绝大多数开关运算等式,然后表明:数字电路的统一性既存在于门级和元件级电路间,也存在于各型元件级电路结构间,以及动态与静态电路间。此外,本文提出元件级电路设计的卡诺图方法和代数方法。
This paper presents a theory of three essential circuit elements (signal, network and load) for surmounting failure of Boolean algebra. First, the paper analyzes the caurse of Boolean algebra failure in digital circuits. Second, on the basis of perfect digital circuits theory, a switch operater transform theorem is proved to embody all most the overwhelming majority identical equations on switch operater which was necessary to prove one by one in literatures. After that, it is shows that the unity of digital circuits exists not only between gate level and component level circuits, but also among component level circuit structures and between dyamic and static circuits. Besides, the Karnaugh map method and algebra method are presented for designing component level circuits.
基金
黑龙江省自然科学基金
关键词
电路三要素理论
布尔代数失效
数字电路
Theory of three essential circuit elements, Failure of Boolean algebra, Unity of digital circuits, Switch operater transform theorem