Significant digits?

Subject: Significant digits?
From: "Hart, Geoff" <Geoff-H -at- MTL -dot- FERIC -dot- CA>
To: "TECHWR-L" <techwr-l -at- lists -dot- raycomm -dot- com>
Date: Mon, 13 Nov 2000 14:57:02 -0500

John Posada queried the accuracy of <<"All conversion rates are processed
and displayed to six significant digits. E.g. 12.3456 or 123.456 or
0.00123456." My contention is that the last number is displayed to eight
significant digits and that six digits would be 0.001234. Who is right?>>

You are. Any digit that you could change to another number without affecting
the meaning of the results is, by definition, not a significant digit. In
this case, changing either of the first two zeros after the decimal place to
any other number would introduce at least a hundredfold and a tenfold
(respectively, from left to right) distortion in the number being reported;
thus, those two zeros are indeed significant figures.

--Geoff Hart, FERIC, Pointe-Claire, Quebec
geoff-h -at- mtl -dot- feric -dot- ca

"Arthur C. Clarke had suggested that any sufficiently advanced technology
would be indistinguishable from magic--referring to a possible encounter
with an alien civilization--but if a science journalist had one
responsibility above all else, it was to keep Clarke's Law from applying to
human technology in human eyes."--Greg Egan, "Distress"

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