電路三要素理論和布爾代數(shù)失效原因分析
THEORY OF THREE ESSENTIAL CIRCUIT ELEMENTS AND FAILURE ANALYSIS OF BOOLEAN ALGEBRA
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摘要: 本文提出一個克服布爾代數(shù)失效的電路三要素理論。文中首先分析布爾代數(shù)在數(shù)字電路中失效的原因,接著證明開關運算定理等,它概括了文獻中曾需一一證明的絕大多數(shù)開關運算等式,然后表明:數(shù)字電路的統(tǒng)一性既存在于門級和元件級電路間,也存在于各型元件級電路結(jié)構間,以及動態(tài)與靜態(tài)電路間。此外,本文提出元件級電路設計的卡諾圖方法和代數(shù)方法。Abstract: This paper prsents a theory of three essential circuit elements (signal, network and load) for surmounting failure of Boolean algebra. First, the paper analyzes the cauese 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 circuits structures and between dyamic and static circuits. Besides, the Karnaugh map method and algebra method are presented for designing component level circuits.
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