| 卡诺图化简数学新方法 |
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| 引用本文： | 叶腾,朱桂英. 卡诺图化简数学新方法[J]. 河北科技大学学报, 2012, 33(3): 202-206 |
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| 作者姓名： | 叶腾 朱桂英 |
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| 作者单位： | 1. 上海交通大学安泰经济与管理学院,上海,200240
2. 河北工程大学装备制造学院,河北邯郸,056029 |
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| 摘 要： | 提出了卡诺图化简中获得卡诺圈合并结果的数学方法。根据卡诺图制图原理,这种数学计算方法的要点在于:用2个最小项对应的十进制数之差找到消去变量;从卡诺圈的某个最小项中去掉相应消去变量得到合并结果。该方法在卡诺图(尤其变量数较多的)化简中,能更准确、更迅速地获得卡诺圈合并结果,并可应用于计算机辅助卡诺图化简逻辑函数。
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| 关 键 词： | 卡诺图 应用数学方法 简化法 |
| 收稿时间： | 2012-02-17 |
New mathomatical simplification method of Karnaugh map |
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| YE Teng and ZHU Gui-ying. New mathomatical simplification method of Karnaugh map[J]. Journal of Hebei University of Science and Technology, 2012, 33(3): 202-206 |
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| Authors: | YE Teng and ZHU Gui-ying |
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| Affiliation: | 1.Antai College of Economics and Management,Shanghai Jiaotong University,Shanghai 200240,China;2.Equipment Manufacturing College,Hebei University of Engineering,Handan Hebei 056029,China) |
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| Abstract: | A mathematical method is provided to get the combination solution of variables in the encircling of Karnaugh map.Based on the basic theory of K-map,two key points of the method are: Ascertaining the complementary variables by the differences of the corresponding decimal indexes of the two miniterms;Eliminating the complementary variables from the corresponding miniterm in the encircling and qetting get the combination results.The method provides more efficient and accurate way to simplify logic functions based on K-map.It can also be applied to Karnaugh map of any number of variables and to simplification by K-map with computer assistance. |
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| Keywords: | Karnaugh map mathematical method simplification method |
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