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逻辑函数的布尔减-异或、布尔除-符合展开式在固定极性下的最小化方法
引用本文:许翔,周振峰,肖林荣.逻辑函数的布尔减-异或、布尔除-符合展开式在固定极性下的最小化方法[J].浙江大学学报(理学版),2006,33(5):540-543.
作者姓名:许翔  周振峰  肖林荣
作者单位:1. 嘉兴学院,电子信息系,浙江,嘉兴,314001
2. 嘉兴学院,电气工程系,浙江,嘉兴,314001
摘    要:在混合极性下的减-异或、除-符合展开式的最小化方法基础上,讨论了在固定极性下减-异或、除-符合展开式的代数化简法和图形化简法,并给出了化简实例.实例验证了上述方法有效性.该法有助于进一步完善减-异或、除-符合代数系统的理论并促进新的数字元件及新一代数字电路的研发.

关 键 词:布尔减-异或代数系统  布尔除-符合代数系统  固定极性  代数化简法  图形化简法
文章编号:1008-9497(2006)05-540-04
收稿时间:2005-06-29
修稿时间:2005年6月29日

Method for minimization of SUBTRACTION-XOR and DIVISION-COINCIDENCE expansions of logic functions with fixed polarity
XU Xiang,ZHOU Zhen-feng,XIAO Lin-rong.Method for minimization of SUBTRACTION-XOR and DIVISION-COINCIDENCE expansions of logic functions with fixed polarity[J].Journal of Zhejiang University(Sciences Edition),2006,33(5):540-543.
Authors:XU Xiang  ZHOU Zhen-feng  XIAO Lin-rong
Institution:1. Department of Electronic Systems and Information Processing , Jiaxing College, Jiaxing 314001, China; 2. Department of Electrical Engineering, Jiaxing College, Jiaxing 314001, China
Abstract:Based on the methods of algebraic and graphic minimization about SUBTRACTION-XOR , DIVISIONCOINCIDENCE functions with mixed polarity, the simplification formulas for the above logic functions was disscussed. Then the algebraic and graphic simplification methods for SUBTRACTION-XOR , DIVISION-COINCIDENCE functions with fixed polarity were proposed, and several simplification examples were also given. These practical examples proved the effectiveness of the above simplification methods. The discussion is helpful to further perfect the theory of SUBTRACTION-XOR , DIVISION-COINCIDENCE algebra system and promote the research of new digital electronic component and the design of new generation of digital circuit.
Keywords:Boolean SUBTRACTION-XOR algebraic system  Boolean DIVISION-COINCIDENCE algebraic system  fixed polarity  method of algebraic minimization  method of graphic minimization
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