多值对称函数基于二值全加器的电路实现
THE LOGIC SYNTHESIS OF MULTIVALUED SYMMETRIC FUNCTION BASED ON BINARY FULL-ADDER
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摘要: 本文讨论了多值对称函数的定义和性质,指出了多值对称函数可以按函数值j分解,而与j相应的子函数Lj必为对称函数。且可表示成蜕化多值基本对称函数乘积项之和的形式。在此基础上提出了多值对称函数基于二值全加器的逻辑综合。
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关键词:
- 多值逻辑; 对称函数; 逻辑设计
Abstract: This paper discusses the definition and properties of multivalued symmetric functions, and points out that a multivalued symmetric function can be decomposed according to the value of the function j. The subfunction L j corresponding to j will certainly be a symmetric function, and it may be expressed as the sum-of-products form of degenerated multivalued fundamental symmetric functions. Based on this consideration, the logic synthesis circuit realization for the multivalued symmetric functions based upon full-adders is proposed. -
Chen X(陈偕雄).The Radio and Electronic Engineer, 1983, 53(2): 67-74.[2]Tapia Ma. Int[J].J. Electronics.1989, 67(5):703-715[3]Butler J T, Schueller K A. Worst case number of terms in symmetric multivalued functions, IEEE proc. 21th ISMVL, Victoria: 1991, 94-101.[4]陈偕雄.科技通报,1990, 6(1):1-5.[5]赵小杰,陈偕雄.杭州大学学报,1990, 17(4):401-408. -
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