Date: Thu, 13 May 1999 20:49:35 -0400 (EDT) From: Thomas David Rivers <rivers@dignus.com> To: advocacy@freebsd.org, jesus.monroy@usa.net, licia@o-o.org, rivers@dignus.com Subject: Re: [Re: BUDS Coming to you soon.] Message-ID: <199905140049.UAA45243@lakes.dignus.com> In-Reply-To: <Pine.BSF.4.05.9905131916060.3370-100000@o-o.org>
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>
> Uhm, not to be a nitpicker, but 2^313 isn't -that- huge, according to bc,
> it's
>
> 166873987181321100187111070794496258953336290809113497652112625611110\
> 91607661254297054391304192
>
> Which is a lot of kernels, but I could print it out on a 3x5 note card pretty
> easily ;)
>
>
Are you sure that's right? Seems kinda small to me :-) But, I'm
wrong more than I care to admit :-)
So, 2**64 is 18446744073709551615 (according to "%qu") - 20 digits,
seems like 2**313 is going to be a lot longer... let's say we gain
a 10's place digit for every 4 powers of two (which is, of course,
way conservative, as you actually gain more than one 10s digit.)
313-64 is 249; 249/4 is 62...
Hmm... seems like you're right - you should have about 20+62 with
my quick conservative math - and you have about 100 digits up there
(I didn't count them.. just guessed)
So - yep - you could print it on a 3x5 card :-)
But - it still is an awful lot of kernels...
How long does it take to build a single kernel - say, a minute,
or better, say, 30 seconds... let's make that a power of two and say, uh,
32 seconds (2**5).
So, we need 2**5 * 2**313 total seconds... that's 2**318 seconds.
Again, fudging a little on the math; let's pretend that a minute
is 64 seconds instead of 60 - which is 2**6. So, we need
2**312 minutes. Again, fudging and saying an hour is 64 minutes,
we'd need 2**306 hours.
(bc could likely figure this out much more precisely - but I'm
"thinking with my fingers")
Fudging again, and saying there are 32 hours in a day, that's
2**301 days.
If we make a week 8 days long, that's 2**298 weeks.
Making a year 64 weeks long (we are *really* stretching things here,
but I think we're stretching in the "right" way), that makes 2**293 years.
Make a millenium 1024 years, and we have 2**283 millenia.
If I've kept everything straight - that's an *awfully* long time :-)
Maybe I've messed up along the way... so, just lop off a whole
chunk of years and say 2**250 millenia...
Now, how old is the universe?
Of course, there are other ways to tackle the problem:
If you had 8 billion people (2**33) (the world has about
6 billion people on it, right now) and each did, say 2*280
kernel builds a night, you could get it in one night.
Let's give each of these 8 billion people 4 computers. That's
2**35 computers - so, each computer only needs to do 2**278
kernel builds per night...
:-) :-) :-)
- Dave Rivers -
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