DNA计算机算术运算的自装配模型(II)—乘法  

Self-assembly model of simple arithmetic in DNA computing—Multiplication

作　　者：刘伟[1] 郭迎[2] 孟大志[3] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025 [2]中南大学信息与通信工程系,长沙410083 [3]北京工业大学应用数理学院,北京100022

出　　处：《计算机工程与应用》2010年第20期161-163,201,共4页Computer Engineering and Applications

基　　金：国家自然科学基金No.60904048;国家博士后科学基金(No.20070420184);湖南省自然科学基金No.07JJ3128~~

摘　　要：DNA计算机与传统电子计算机相比具有高度并行性、容量大、速度快等特点。它也是以加、减、乘、除等简单算术运算和异或等逻辑运算为基本运算单元。在自装配加法的基础上,设计了DNA自装配乘法模型,算法的时间复杂度为O(1),空间复杂度为O(n),并给出实例验证了算法的有效性。该算法具有编码简单、效率高、通用性强等优点。DNA computer has the advantages of high degree of parallelism,large capacity,high speed and so on compared with conventional computer.It also takes addition,subtraction,multiplication and division and other simple arithmetic operations and logic operations as basic computing units.This paper proposes the general parallel DNA self-assembly parallel multiplication model on the basis of DNA self-assembly parallel addition model.The time complexity of proposed algorithm is O（1） and the space complexity is O（n）.In addition the main merits of this model are simple coding,universal and its efficiency.

关 键 词：DNA计算机 算术运算 自装配 乘法 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]