On Thu, 20 Jul 2006, Sidney Cammeresi wrote:

> On Thu, 20 Jul 2006 at 01.35.03 -0500, Chuck Cole wrote:
> 
>> Several kinds of applications require more than 8 digit precision. HP 
>> calculators are the only ones that have at least 10 digits of precision 
>> throughout.  We could not use TI scientific calculators except as slide 
>> rule replacements because of their 8 digit limited precision. 
>> Discovering that 8 digits was not enough at all in these applications 
>> made a deep impression on me.
>
> Ten digits on a slide rule?  How exactly does that work?  Given that a 
> normal ten-inch slide rule has three digits of precision throughout the 
> scale (four on the left side, blah blah), you'd need a slide rule 106 
> feet long to get ten digits.  I don't know how much precision a 
> five-inch pocket slide rule has, so maybe I'm off buy one factor of two.
>
> `Three digits is enough for most things' was the slide rule mantra.


He was only saying that 8-digits is enough for "slide rule replacement", 
which makes sense because if a slide rule can do three digits, then a 
device that can do 8 digits is more than sufficient to replace a slide 
rule.

I would like to hear from Chuck what he was doing that required 10 digits 
instead of 8 digits.  That's pretty interesting.  I'd also wonder about 
internal precision because I believe my old calculator that showed 8 
digits actually had a little more inside and you could see those extra 
digits by subtracting away the 8 visible digits.  It would then show a few 
in scientific notation.  Hypothetical example:

  0.83248872
-0.83248872
  ----------
  3.17 E-09

Mike