| 位运算运算律的解析及一个同余恒等式的证明 |
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| 引用本文： | 王兴波. 位运算运算律的解析及一个同余恒等式的证明[J]. 佛山科学技术学院学报(自然科学版), 2011, 29(3): 53-57 |
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| 作者姓名： | 王兴波 |
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| 作者单位： | 佛山科学技术学院 机电工程系,广东 佛山,528000 |
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| 基金项目： | 广东省自然科学基金资助项目(10158000100016); 佛山市产学研基金资助项目(2010C012) |
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| 摘 要： | 对位运算的运算律进行了研究,得到了按位与、按位或、按位异或及移位运算在交换律、结合律以及对加法的分配律方面的一些性质.基于这些性质,还研究了维基百科所列一个同余恒等式的证明方法,并给出了一个正确的证明.
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| 关 键 词： | 按位运算 运算律 同余恒等式 |
Analysis on the operation law of bitwise operation and the demonstration of a modulo identity |
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| WANG Xing-bo. Analysis on the operation law of bitwise operation and the demonstration of a modulo identity[J]. Journal of Foshan University(Natural Science Edition), 2011, 29(3): 53-57 |
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| Authors: | WANG Xing-bo |
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| Affiliation: | WANG Xing-bo(Department of Mechatronics Engineering,Foshan University,Foshan 528000,China) |
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| Abstract: | The paper makes an investigation into the operation law of bitwise operation and obtains some properties of bitwaie AND,bitwise OR,bitwise exclusive or(XOR) and bit-shifts operation in term of commutative law,associative law and distributive law.Based on the obtained properties,the paper explores the demonstration of a modulo identity that is exhibited in Wikipedia and presents a correct proof for the formula. |
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| Keywords: | bitwise operation operation law modulo identity |
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