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12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95)
It Takes Six Ones To Reach a Flaw
Bath, England
July 19-July 21
ISBN: 0-8186-7089-4
ASCII Text
x 
 
T. Coe, P.T.P. Tang, "It Takes Six Ones To Reach a Flaw," Computer Arithmetic, IEEE Symposium on, pp. 140, 12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95), 1995.
 
 
BibTex
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@article{ 10.1109/ARITH.1995.465365,
author = {T. Coe and P.T.P. Tang},
title = {It Takes Six Ones To Reach a Flaw},
journal ={Computer Arithmetic, IEEE Symposium on},
volume = {0},
year = {1995},
issn = {1063-6889},
pages = {140},
doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.1995.465365},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer Arithmetic, IEEE Symposium on
TI - It Takes Six Ones To Reach a Flaw
SN - 1063-6889
SP
EP
A1 - T. Coe,
A1 - P.T.P. Tang,
PY - 1995
VL - 0
JA - Computer Arithmetic, IEEE Symposium on
ER -
 
T. Coe, Chinese University of Hong Kong
P.T.P. Tang, Chinese University of Hong Kong
The intial release of the Pentium processor has a flaw in its radix-4 SRT division implementation. It is widely-known that five entries were missing in the lookup table, yielding reduced-precision quotients occasionally. In this paper, we use mathematical techniques to analyze the divisors that can possibly cause failures. In particular, we show that Bits 5 through 10 (where Bit 0 is the MSB) of such divisors must be all ones. This result is useful in compiler-level software patches for systems with unreplaced chips; and we believe that the techniques used here are applicable in analyzing SRT division as well as other hardware algorithms for floating-point arithmetic.
Citation:
T. Coe, P.T.P. Tang, "It Takes Six Ones To Reach a Flaw," arith, pp.140, 12th IEEE Symposium on Computer Arithmetic (ARITH-12 '95), 1995
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