A digit-recurrence algorithm for cube rooting

作     者：Takagi, N 

作者机构：Nagoya Univ Dept Informat Engn Nagoya Aichi 4648603 Japan 

出 版 物：《IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES》 (电子信息通信学会汇刊：电子学、通信及计算机科学基础)

年 卷 期：2001年第E84A卷第5期

页      面：1309-1314页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：computer arithmetic cube rooting hardware algorithm digit-recurrence algorithm VLSI 

摘      要：A digit-recurrence algorithm for cube rooting is proposed. In cube rooting, the digit-recurrence equation of the residual includes the square of the partial result of the cube root. In the proposed algorithm, the square of the partial result is kept, and the square, as well as the residual, is updated by addition/subtraction, shift, and multiplication by one or two digits. Different specific versions of the algorithm are possible, depending on the radix, the digit set of the cube root, and etc. Any version of the algorithm can be implemented as a sequential (folded) circuit or a combinational (unfolded) circuit, which is suitable for VLSI realization.