Browse > Article

IEEE-754 Floating-Point Divider for Embedded Processors  

Jeong, Jae-Won (Department of Electrical and Electronic Engineering, Yonsei University)
Hong, In-Pyo (Department of Electrical and Electronic Engineering, Yonsei University)
Jeong, Woo-Kyong (Department of Electrical and Electronic Engineering, Yonsei University)
Lee, Yong-Surk (Department of Electrical and Electronic Engineering, Yonsei University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SD / v.39, no.7, 2002 , pp. 66-73 More about this Journal
Abstract
As floating-point operations become widely used in various applications such as computer graphics and high-definition DSP, the needs for fast division become increased. However, conventional floating-point dividers occupy a large hardware area, and bring bottle-becks to the entire floating-point operations. In this paper, a high-performance and small-area floating-point divider, which is suitable for embedded processors, is designed using he series expansion algorithm. The algorithm is selected to utilize two MAC(Multiply-ACcumulate) units for quadratic convergence to the correct quotient. The two MAC units for SIMD-DSP features are shared and the additional area for the division only is very small. The proposed divider supports all rounding modes defined by IEEE 754 standard, and error estimations are performed for appropriate precision.
Keywords
Citations & Related Records
연도 인용수 순위
  • Reference
1 Stuart F. Oberman and Michael J. Flynn, 'Design Issues in Division and Other Floating-Point Operations,' IEEE Transactions on Computers, Vol. 46, No. 2, Feb. 1997, pp. 154-161   DOI   ScienceOn
2 D. DasSarma and D. Matula, 'Measuring the Accuracy of ROM Reciprocal Tables,' IEEE Transactions on Computers, Vol. 43, No. 8, pp. 932-940, August 1994   DOI   ScienceOn
3 Robert E. Goldschmidt, 'Applications of Division by Convergence,' MS thesis, Dept. of Electrical Eng., Massachusetts Inst. of Technology, Cambridge, Mass., June 1964
4 Stuart F. Oberman, 'Design Issues in High Performance Floating Point Arithmetic Units,' Ph.D. thesis, Stanford University, Nov. 1996
5 Stuart F. Oberman, 'Floating Point Division and Square Root Algorithms and Implementation in the AMD-K7TM Microprocessor,' Proc. 14th IEEE Symp. on Computer Arithmetic, pp. 106-115, 1999   DOI
6 Stuart F. Oberman and Michael J. Flynn, 'Division Algorithms and Implementations,'IEEE Transactions on Computers, Vol. 46, No. 8, August 1997   DOI   ScienceOn
7 Peter Soderquist and Miriam Leeser, 'Division and Square Root Choosing the RightImplementation,' IEEE Micro, July 1997, pp. 56-66   DOI   ScienceOn
8 Peter Soderquist and Miriam Leeser, 'An Area/Performance Comparison of Subtractive and Multiplicative Divide/Square Root Implementations,' Proc. 12th IEEE Symp. Computer Arithmetic, IEEE, 1995, pp. 132-139   DOI