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Sorry for the confusion : I used t_(i+1) instead of t_i. for that reason I missed a factor 2 : 2^(i+1) = 2 * 2^i. <small><span class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:KeesLem|KeesLem]] ([[User talk:KeesLem|talk]] • [[Special:Contributions/KeesLem|contribs]]) 14:36, 21 February 2013 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
== Justification for division by zero definition ==
I [http://en.wikipedia.org/w/index.php?title=Division_by_zero&diff=511812597&oldid=510158610 recently added] to [[division by zero]] this statement with an appropriate source:
:"The justification for this definition is to preserve the sign of the result in case of [[arithmetic underflow]]. For example, in the double-precision computation 1/(''x''/2), where ''x'' = ±2<sup>−149</sup>, the computation ''x''/2 underflows and produces ±0 with sign matching ''x'', and the result will be ±∞ with sign matching ''x''. The sign will match that of the exact result ±2<sup>150</sup>, but the magnitude of the exact result is too large to represent, so infinity is used to indicate overflow."
Provided this is valid, I wonder if it could also be added in some relevant ___location in the body of floating point related articles. In general I'd like to see more information on design rationales. Thanks! [[User:Dcoetzee|Dcoetzee]] 07:42, 11 September 2012 (UTC)
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