| 逻辑函数的规范减-异或展开式及其与最小项展开式的转换 |
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| 引用本文： | 潘伟珍,俞军,王柏祥.逻辑函数的规范减-异或展开式及其与最小项展开式的转换[J].科技通报,2005,21(6):723-728. |
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| 作者姓名： | 潘伟珍 俞军 王柏祥 |
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| 作者单位： | 1. 绍兴文理学院,数理信息学院,浙江,绍兴,312000
2. 浙江大学,信息与电子工程系,杭州,310028 |
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| 摘 要： | 从香农展开定理出发，推导了任意逻辑函数在布尔减一异或代数系统中的规范XOS（减之异或）展开式，并对函数的XOS展开系数（ej系数）和SOP展开系数（cj系数）之间的关系作了较详细的讨论，给出两者的矩阵转换法。本文的工作对进一步完善布尔代数的四则运算理论具有一定的意义。
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| 关 键 词： | XOS展开 SOP展开 ej系数 cj系数 转换 |
| 文章编号： | 1001-7119（2005）06-0723-06 |
| 收稿时间： | 2004-03-01 |
| 修稿时间： | 2004年3月1日 |
The Standard SUBTRACTION-XOR Expansion of Logic Functions and Transformation Between it and Minterm Expansion |
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| PAN Wei-zhen,YU Jun,WANG bai-xiang.The Standard SUBTRACTION-XOR Expansion of Logic Functions and Transformation Between it and Minterm Expansion[J].Bulletin of Science and Technology,2005,21(6):723-728. |
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| Authors: | PAN Wei-zhen YU Jun WANG bai-xiang |
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| Institution: | 1. College of Mathematics and Information, Shaoxing College of Arts and Sciences, Shaoxing 312000, China; 2. Department of Information and Electronic Engineering, Zhejiang University, Hangzhou 310028, China |
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| Abstract: | Based on Shannon's expanded theorem,the standard XOS expansion of an arbitrary logic function in Boolean SUBTRACTION-XOR algebraic system was deduced. The relation between the XOS expansion coefficients(ej coefficients) and SOP expansion coefficients(cj coefficients) was discussed,and matrix transform method was given.The paper is of certain significance to improve the four fundamental operations theory of Boolean algebra. |
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| Keywords: | XOS expansion SOP expansion ej coefficients cj coefficients transformation |
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