数字技术中图形原理的研究与应用

Research and Application of Graphics Principles in Digital Technology

用卡诺图化简、分析逻辑函数具有简洁、直观等优点,但在多变量的数字技术研究中因图形的复杂性难以使用卡诺图分析方法。基于此,本文提出了数字逻辑图形原理,该原理仅依据数字逻辑函数的最简与或式的因子特征就可得出相对应的虚拟卡诺图特性,并给出其虚拟卡诺图的各卡诺圈彼此相隔、相交及相切的判断原理。本文还进一部研究了电路产生数字险象的虚拟卡诺图分析原理和解决方法。数字逻辑图形原理避免了多数字变量的卡诺图图形实际建立的复杂性,给多数字变量的卡诺图理论分析及应用提供了新的研究方法。

Analyzing the logical function with karnaugh map has the merits of brevity and intuition.In multivariable digital technology study,it is difficult to use the analytical procedure of karnaugh map because of the complexity of the graphics.The principle of digital logic graphics presented by this paper is based on digital logic function of the minimal and/or of the factors,which can conclude corresponding characteristic of dummy karnaugh map.And it also gives its karnaugh circles each other apart,intersection and tangency judgment principle.The paper also provides the principle of dummy karnaugh map and the principle of settling digital danger phenomenon on the circuit of dummy karnaugh map.The principle avoids the complexity of creating karnaugh map of multivariable variables,and it provides a new research technique and potential analysis and application of multivariable variables of karnaugh map theory.