Archived posting to the Leica Users Group, 2006/10/09

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Subject: [Leica] Digital questions . . . .
From: reid at mejac.palo-alto.ca.us (Brian Reid)
Date: Mon Oct 9 21:45:21 2006
References: <000001c6eb1e$f0bbe5f0$2958aa43@Aubin> <BA087A19-1D91-4380-8208-B88FB3A8A749@ncable.net.au> <4529D021.3070703@nathanfoto.com>

The major and meaningful size-problem barrier is at 2GB.
This is because the computer chips inside cameras deal in
32-bit chunks of information. The 32 bits hold numbers in binary,
and each binary bit doubles the size of the number that it can
hold. 1,2,4,8,16,32,64,128,256,512, and so forth.

If you start with a 1 and double it 31 times, you get the number
2,147,483,648 which is 2 giga.

2,147,483,647 is the largest number that you can represent in a
32-bit system without special tricks. The reason you can't double
again to get 4 gig -- 4,294,967,296  -- is that that last bit is
needed to indicate negative numbers. On a regular 32-bit computer
if you take the number 2,147,483,647 and add 1 to it, the answer
will be -2,147,483,648 instead of +2,147,483,648. Bad mojo.

So if you're going to build a digital system that deals with
/anything/ bigger than 2GB, it needs to be patiently constructed to
use two 32-bit data items to stand for a single number. This is
tedious, error-prone, and slow, so deadline-wracked engineers don't
do it until they have to, and they usually get it wrong the first
couple of times.

The next size bomb lurking in digital systems is 140 gig, which
is the limit with a 48-bit system. Most computers built before
aboutg 2000 or 2001 can't use hard drives bigger than 140 gig.

64-bit systems can deal with numbers up to 9,223,372,036,854,775,807
which is higher than I can count and certainly bigger than any
storage device that's going to be made in my lifetime. So there's
no need when building digital controllers to use more than two 32-bit
items to store one number. This means there won't be a repeat of
the 2GB problem at 4GB or 8GB or 16GB or whatever. If you can deal
with something bigger than 2GB, then you can deal with pretty much
anything.


Replies: Reply from firkin at ncable.net.au (Alastair Firkin) ([Leica] Digital questions . . . .)
Reply from red735i at earthlink.net (Frank Filippone) ([Leica] Digital questions . . . .)
Reply from jhnichols at bellsouth.net (Jim Nichols) ([Leica] Digital questions . . . .)
In reply to: Message from puff11 at comcast.net (Norm Aubin) ([Leica] Digital questions . . . .)
Message from firkin at ncable.net.au (Alastair Firkin) ([Leica] Digital questions . . . .)
Message from nathan at nathanfoto.com (Nathan Wajsman) ([Leica] Digital questions . . . .)