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 Very small number problem
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Podge
Support Moderator

Ireland
3775 Posts

Posted - 12 March 2009 :  07:03:39  Show Profile  Send Podge an ICQ Message  Send Podge a Yahoo! Message  Reply with Quote
Windows scientific calculator calculates .5 ^ 12288 as 8.778357852076208839765066529179e-3700

Anyone know of a calculator that will output the result in ordinary format i.e. 0.0000000000000000000000000<snipped zeros>8778357852076208839765066529179

Any other ideas how I could express exactly how small this number is ?

Podge.

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HuwR
Forum Admin

United Kingdom
20584 Posts

Posted - 12 March 2009 :  07:08:40  Show Profile  Visit HuwR's Homepage  Reply with Quote
um the reason it expresses it as e-3700 is precicely because it is so small, I'm pretty sure you will never find a calculator that is going to output 3700 digits
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Podge
Support Moderator

Ireland
3775 Posts

Posted - 12 March 2009 :  12:19:21  Show Profile  Send Podge an ICQ Message  Send Podge a Yahoo! Message  Reply with Quote
8.778357852076208839765066529179e-3700 means nothing to someone that doesn't know what e-3700 means.

A few pages full of zeros would show how small it is even to the mathematically challenged. I'm looking for other ideas though.

Podge.

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HuwR
Forum Admin

United Kingdom
20584 Posts

Posted - 12 March 2009 :  12:29:12  Show Profile  Visit HuwR's Homepage  Reply with Quote
if you ask google what 0.5^12288 is, it just returns 0 which is probably close enough
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Shaggy
Support Moderator

Ireland
6780 Posts

Posted - 12 March 2009 :  12:30:45  Show Profile  Reply with Quote
Tried the same calculation in JavaScript and VBScript and they both return 0 as well.


Search is your friend
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taken to nailing weasels to my front door again.”
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HuwR
Forum Admin

United Kingdom
20584 Posts

Posted - 12 March 2009 :  13:16:31  Show Profile  Visit HuwR's Homepage  Reply with Quote
yes well -e3700 is so small it is considered to be 0, you would be hard pressed to find anything that would not round it to 0
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Podge
Support Moderator

Ireland
3775 Posts

Posted - 12 March 2009 :  13:43:37  Show Profile  Send Podge an ICQ Message  Send Podge a Yahoo! Message  Reply with Quote
I got this idea from here - http://en.wikipedia.org/wiki/Googolplex

Measure the width of a zero and convert the number to metres in length.

If a zero is 3mm in width the number would be 11.19 metres long (3730 digits). Seem reasonable ?

Podge.

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