This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Multistep Gradual Rounding
April 1989 (vol. 38 no. 4)
pp. 595-600
ASCII Text
x 
 
C. Lee, "Multistep Gradual Rounding," IEEE Transactions on Computers, vol. 38, no. 4, pp. 595-600, April, 1989.
 
 
BibTex
x
 
@article{ 10.1109/12.21152,
author = {C. Lee},
title = {Multistep Gradual Rounding},
journal ={IEEE Transactions on Computers},
volume = {38},
number = {4},
issn = {0018-9340},
year = {1989},
pages = {595-600},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.21152},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Multistep Gradual Rounding
IS - 4
SN - 0018-9340
SP595
EP600
EPD - 595-600
A1 - C. Lee,
PY - 1989
KW - multistep gradual rounding; denormalization process; IEEE Floating-Point Standard 754; floating-point register; digital arithmetic; roundoff errors.
VL - 38
JA - IEEE Transactions on Computers
ER -
 
A value V is to be rounded to an arbitrary precision resulting in the value V". Conventional rounding technique uses one step to accomplish this. Multistep rounding uses several steps to round the value V to successively shorter precisions with the final rounding step producing the desired value V". This alternate rounding method is one way to implement with the minimum of hardware, the denorma

[1] IEEE Standard for Binary Floating-Point Arithmetic, ANSI/IEEE 754- 1985, IEEE, New York, Aug. 1985.
[2] T. E. Hull, A. Abrham, M. S. Cohen, A. F. X. Curley, C. B. Hall, D. A. Penny, and J. T. M. Sawchuk, "Numerical Turing,"SIGNUM Newsletter, vol. 20, pp. 26-33, July 1985.
[3] W. J. Cody, J. T. Coonen, D. M. Gay, K. Hanson, D. Hough, W. Kahan, R. Karpinski, J. Palmer, F. N. Ris, and D. Stevenson, "A proposed radix- and word-length-independent standard for floating-point arithmetic,"IEEE Micro, vol. 4, pp. 86-100, Aug. 1984.

Index Terms:
multistep gradual rounding; denormalization process; IEEE Floating-Point Standard 754; floating-point register; digital arithmetic; roundoff errors.
Citation:
C. Lee, "Multistep Gradual Rounding," IEEE Transactions on Computers, vol. 38, no. 4, pp. 595-600, April 1989, doi:10.1109/12.21152
Usage of this product signifies your acceptance of the Terms of Use.