Title : 
Decimal floating-point division using Newton-Raphson iteration
         
        
            Author : 
Wang, Liang-Kai ; Schulte, Michael J.
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
         
        
        
        
        
            Abstract : 
Decreasing feature sizes allow additional functionality to be added to future microprocessors to improve the performance of important application domains. As a result of rapid growth in financial, commercial, and Internet-based applications, hardware support for decimal floating-point arithmetic is now being considered by various computer manufacturers and specifications for decimal floating-point arithmetic have been added to the draft revision of the IEEE-754 Standard for Floating-Point Arithmetic (IEEE-754R). This work presents an efficient arithmetic algorithm and hardware design for decimal floating-point division. The design uses an optimized piecewise linear approximation, a modified Newton-Raphson iteration, a specialized rounding technique, and a simplified combined decimal incrementer/decrementer. Synthesis results show that a 64-bit (16-digit) implementation of the decimal divider, which is compliant with IEEE-754R, has an estimated critical path delay of 0.69 ns when implemented using LSI Logic´s 0.11 micron gflx-p standard cell library.
         
        
            Keywords : 
IEEE standards; Newton-Raphson method; floating point arithmetic; high level synthesis; IEEE-754 Standard for Floating-Point Arithmetic; IEEE-754R; LSI Logic; Newton-Raphson iteration; arithmetic algorithm; critical path delay; decimal floating-point arithmetic; decimal floating-point division; decimal incrementer-decrementer; gflx-p standard cell library; hardware design; hardware support; piecewise linear approximation; Algorithm design and analysis; Application software; Computer aided manufacturing; Delay estimation; Design optimization; Floating-point arithmetic; Hardware; Internet; Microprocessors; Piecewise linear approximation;
         
        
        
        
            Conference_Titel : 
Application-Specific Systems, Architectures and Processors, 2004. Proceedings. 15th IEEE International Conference on
         
        
        
            Print_ISBN : 
0-7695-2226-2
         
        
        
            DOI : 
10.1109/ASAP.2004.1342461