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计算含无关项布尔c-导数的K图方法
引用本文:厉晓华,赵建华.计算含无关项布尔c-导数的K图方法[J].浙江大学学报(理学版),2016,43(3):307-309.
作者姓名:厉晓华  赵建华
作者单位:1. 浙江大学 信息中心, 浙江 杭州 310027;
2. 丽水市住建局 地理信息中心, 浙江 丽水 323000
基金项目:国家科技支撑计划项目(2013BAH27F01,2013BAH27F02).
摘    要:为简化与-或-非代数系统中含无关项逻辑函数布尔c-导数的计算过程,从逻辑函数布尔c-导数的定义出发,提出了计算含无关项一阶布尔c-导数和二阶布尔c-导数的K图方法.该方法通过折叠映射K图中的填入格值,并对相应格值进行"或"运算以计算含无关项布尔c-导数.应用实例表明,该方法直观有效,且能直接得到布尔c-导数的最简与/或式.

关 键 词:K图  无关项  布尔c-导数  逻辑函数  
收稿时间:2015-06-18

The K-map method for calculating c-derivative of Boolean function with don't-care-terms
LI Xiaohua,ZHAO Jianhua.The K-map method for calculating c-derivative of Boolean function with don't-care-terms[J].Journal of Zhejiang University(Sciences Edition),2016,43(3):307-309.
Authors:LI Xiaohua  ZHAO Jianhua
Institution:1. Campus Information Center, Zhejiang University, Hangzhou 310027, China;
2. Geomatics Center, Housing Construction Bureau, Lishui 323000, Zhejiang Province, China
Abstract:To simplify the process for calculating c-derivative of Boolean function with don't-care-terms in the Boolean logic algebra system based on AND-OR-NOT operation, the K-map method for calculating the first and second-order c-derivative of Boolean function with don't-care-terms is proposed according to the definition of c-derivative. The c-derivative is calculated by folding the square corresponds of the K-map, and then conducts OR operation. The application results show that the presented method is simple and convenient for operation. The simplest AND/OR expansion of c-derivative of Boolean function with don't-care-terms can also be obtained from K-map.
Keywords:K-map  don't-care-terms  c-derivative  logic function
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