Gazillions of miniature violins
Nov. 24th, 2008 10:17 pmSo, recently I was perusing the packaging for a USB memory stick (no, I don't get out much). I was vaguely confused by it. It turns out that numbers are even less clear-cut than I thought they were.
The USB stick was advertised as 2GB. As I'm sure many of you know, that's not actually a very precise measurement. (If you know all about that you can skip the next paragraph).
A kilobyte, for example, is approximately a thousand bytes. Owing to computers' pesky habit of doing everything in powers of two it's not actually a 1000 bytes, it's 1024 bytes. 24 bytes out of a thousand - big deal, let's call it a thousand bytes. A megabyte is a thousand kilobytes, and by that stage it's become more of an issue whether you mean 1,000,000 bytes, or whether you mean 1,048,576 (= 1024 x 1024) bytes. And the trouble with the term 'megabyte' is that people use it to mean both values. I relatively recently learned that the abbreviation MB is ambiguous, while the less-common abbreviation MiB specifically means the larger, non-decimal-friendly number. The same is true for gigabyte (GB/GiB), only more so.
Fortunately, the manufacturers of the USB stick were clued up to this problem, and wrote on the packaging that 1GB = 1 billion bytes. OK, I thought; modulo the warnings about not all space being available for storage, we know where we are.
Then I thought hang on, a gigabyte isn't a billion bytes. It's 1,000,000,000 bytes. A billion would be 1,000,000,000,000. Since this is for sale in the UK, they should use UK billions (the larger number) not US billions. Humph, I thought.
However, ChrisC pointed me at the Wikipedia page about the word billion. This distinguishes between a "short scale" billion (1,000,000,000) and a "long scale" billion (1,000,000,000,000). It then goes on to say:
In 1974 the government of the UK abandoned the long scale, so that the UK now applies the short scale interpretation exclusively in mass media and official usage.
You what ? Twenty years after that decision was made, my school was still teaching me that a UK billion was a million million ? Despite that usage having been dropped before I was even born ?
I'm genuinely disgruntled about this. I've been misreading news reports and financial projections and population estimates for my entire life ?
Did you all know this ?
The USB stick was advertised as 2GB. As I'm sure many of you know, that's not actually a very precise measurement. (If you know all about that you can skip the next paragraph).
A kilobyte, for example, is approximately a thousand bytes. Owing to computers' pesky habit of doing everything in powers of two it's not actually a 1000 bytes, it's 1024 bytes. 24 bytes out of a thousand - big deal, let's call it a thousand bytes. A megabyte is a thousand kilobytes, and by that stage it's become more of an issue whether you mean 1,000,000 bytes, or whether you mean 1,048,576 (= 1024 x 1024) bytes. And the trouble with the term 'megabyte' is that people use it to mean both values. I relatively recently learned that the abbreviation MB is ambiguous, while the less-common abbreviation MiB specifically means the larger, non-decimal-friendly number. The same is true for gigabyte (GB/GiB), only more so.
Fortunately, the manufacturers of the USB stick were clued up to this problem, and wrote on the packaging that 1GB = 1 billion bytes. OK, I thought; modulo the warnings about not all space being available for storage, we know where we are.
Then I thought hang on, a gigabyte isn't a billion bytes. It's 1,000,000,000 bytes. A billion would be 1,000,000,000,000. Since this is for sale in the UK, they should use UK billions (the larger number) not US billions. Humph, I thought.
However, ChrisC pointed me at the Wikipedia page about the word billion. This distinguishes between a "short scale" billion (1,000,000,000) and a "long scale" billion (1,000,000,000,000). It then goes on to say:
In 1974 the government of the UK abandoned the long scale, so that the UK now applies the short scale interpretation exclusively in mass media and official usage.
You what ? Twenty years after that decision was made, my school was still teaching me that a UK billion was a million million ? Despite that usage having been dropped before I was even born ?
I'm genuinely disgruntled about this. I've been misreading news reports and financial projections and population estimates for my entire life ?
Did you all know this ?
no subject
Date: 2008-11-24 10:35 pm (UTC)Usually in very very small writing.
Common, oh so very common on the size if a GB on sticks and drives.
Every so often trading standards contemplates the whole thing and then gives up again.
The whole billion thing is one of those that I kind of subconcisouly absorbed some time ago. Brain sponge, damn American football and cricket rules.
no subject
Date: 2008-11-24 11:00 pm (UTC)(no subject)
From:no subject
Date: 2008-11-24 10:48 pm (UTC)I know only one person who habitually uses the term "milliard" for the number 109 - and, dear, sweet, highly respected man that he is, he is doing it to make a point.
What got me is when Gordon Brown habitually announced in the budgets, and the like, that he would spend "two hundred millions of pounds" or "two billions of pounds". To me, I would skip the "s of" part, but I have this nasty feeling - like you - that I may have technically been wrong all my life.
no subject
Date: 2008-11-24 10:57 pm (UTC)no subject
Date: 2008-11-24 10:59 pm (UTC)I hadn't ever heard the term milliard up until my googling earlier this evening. It seems somewhat sensible to have a non-ambiguous word for 109, though.
(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-24 10:51 pm (UTC)The same is true for gigabyte (GB/GiB), only more so.
You don't pronounce them the same. In the new order, only the smaller, base 10, values KB, MB and GB, are pronounced kilobyte, megabyte and gigabyte respectively.
The larger, base 2 values, are KiB, MiB and GiB and are supposedly pronounced kibi-, mebi- and gebi-, respectively.
Did you all know this ?
Yes. Do I like it? No.
no subject
Date: 2008-11-24 10:52 pm (UTC)(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-24 11:02 pm (UTC)no subject
Date: 2008-11-24 11:03 pm (UTC)While at some point I'm sure I learnt the 1 million-million 'British' version, I've had enough years of international stream accountancy courses (and working for US company), that I must confess I'd dropped it as a bit of an archaic oddity.
(Yes, I still consider my height in inches, weight in stones & pounds, cook & brew in pounds & ounces; whilst doing DIY in millimetres, measure temperature in celsius...and yes, give me a metric measuring jug and I can comfortably use 454g=1 lb, a pint of water weighs a pound & a quarter, & 1 litre=1kg to work out what a pint in millilitres is in my head. Nobody said I had to be consistent :)
no subject
Date: 2008-11-24 11:21 pm (UTC)And yes, SI units all the way for anything where serious calculation is to be done, but imperial for everyday run-of-the-mill use.
(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-25 07:30 am (UTC)I do that too, but it's mostly because I'd otherwise have to recalibrate all my intuitive measuring. I can look at someone and think "about 5'3", 11st", not because imperial's easier but because as a small child our bathroom scales used imperial and it's been the units I've worked in ever since.
(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-24 11:13 pm (UTC)no subject
Date: 2008-11-24 11:14 pm (UTC)Yup.
Probably just as well there's a standard, even if it's a filthy Yank standard.
International finance would be even more f*cked if 1 billion != 1 billion.
no subject
Date: 2008-11-24 11:19 pm (UTC)(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-24 11:34 pm (UTC)My impression 25 years ago was UK billion was 1012, US billion was 109, and Australia was meant to use the UK billion but the evil media/common usage was tending towards using US, about which I was Not Happy. Sometime in my teens I transitioned from evangelism to gloomily telling people the 'million million' billion was dead, long live the 'million million' billion.
By the time I moved to the UK (11 years ago) I assumed the UK had already succumbed, though I didn't realise how long ago it became official.
(aside - I tried moving Reflections' internal documentation over to using the IEC Prefixes for binary multiples. No idea whether it stuck..)
no subject
Date: 2008-11-24 11:39 pm (UTC)Mind you, if you had to guess, would you expect a 1.44M floppy to be MB or MiB? And what about a 56K modem?
no subject
Date: 2008-11-24 11:54 pm (UTC)(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-25 05:46 am (UTC)(US) The English Government proposes to bail out RBS by taking a $40bn stake. This will be in the form of $10bn of preference shares and $30bn of ordinary shares. This represents about $133 for each of the 300m US inhabitants.
(UK) The British Government proposes to bail out RBS by taking a £20,000m stake. This will be in the form of £5,000m of preference shares and £15,000m of ordinary shares. This represents about £3.33 for each of earth's 6,000m inhabitants.
no subject
Date: 2008-11-25 07:32 am (UTC)no subject
Date: 2008-11-25 09:22 am (UTC)no subject
Date: 2008-11-25 07:32 am (UTC)no subject
Date: 2008-11-25 09:15 am (UTC)My complaint was about the UK switching 30+ years ago to using 1 billion != i million million, but the education system still assiduously teaching me that it was.
(no subject)
From:(no subject)
From:(no subject)
From:(no subject)
From:no subject
Date: 2008-11-25 09:20 am (UTC)I'm slightly boggled that you'd managed to miss billion=109; that's been the value used in (for instance) the British press for multiple decades now. The only case where I've seen billion=1012 is people who object to the change, or (now) one who'd managed to miss it. (Any schools still teaching billion=1012 need re-education fast!)
I had a 4GB Sandisk CF card arrive today, and noticed the same gigabyte=109 bytes rubric on the (frankly excessive) packaging. Disk Utility reports it as “3.8GB (4,110,188,544 Bytes)” so in fact it's neither 4 binary gigabytes nor 4 decimal gigabytes.
In fact I suspect it contains exactly 4 binary gigabytes of underlying physical storage and the 176 (binary) megabytes not presented to the user stores private metadata (for wear leveling etc).
Finally the interesting thing to notice is that (in storage at least) the only people who use decimal units are the storage device manufacturers: if you ask an OS how big a device is it is reported in binary units (usually, though not always, without the irritating 'MiB' versions).
I consider this to be just plain old lying by the storage manufacturers: they are choosing an unusual definition for a unit that everyone else already has an understanding of in order to make the numbers they can put on their packaging bigger.
Finally I don't think the 'MiB' versions were necessary at all: using kilo- on its own to mean 1024 would arguably be confusing but in fact that is not what is going on - it is only used to mean that in the context of 'bytes'. IMV refusing to account for context is nothing more than stupidity and should not be encouraged, particularly so when the context is in the same word rather than e.g. in the surrounding paragraph where it might actually be lost at some point.
no subject
Date: 2008-11-25 09:22 am (UTC)(no subject)
From:(no subject)
From:no subject
Date: 2008-11-25 09:37 am (UTC)Executive summary: Me too.
It is canny of George Osborne to warn that the national debt could reach a 'trillion' pounds, knowing that many people will take this to be 106 times as much as it is!
no subject
Date: 2008-11-25 10:19 am (UTC)no subject
Date: 2008-11-25 10:20 am (UTC)(no subject)
From:no subject
Date: 2008-11-25 10:39 am (UTC)I did not know that in '74, the year i was born that we stopped having a UK billion and am a tad upset that my schooling also seemed to miss this fact and as such lead me down the garden path !
no subject
Date: 2008-11-25 12:57 pm (UTC)I think the British billion has pretty much passed from this world except as a lingering cause of confusion.
no subject
Date: 2008-11-25 02:47 pm (UTC)So I was halfway there. And I can't actually remember what I learnt in school. I think I at one point derived that million million makes more sense because you should come up with new words when compounds of old ones start needing duplications (clearly ignored below a thousand). I think that was my own conclusion though rather than something taught in school. Then experience seemed to prove that I was wrong so I switched. :)
I'm now (after reading comments) trying to work out where I might have seen billion in a context to tell me what it meant...
no subject
Date: 2008-11-25 05:54 pm (UTC)"And in today's headlines, Brown is said to have spent £2.3x10^12 on doughnuts for his new cabinet"
no subject
Date: 2008-11-28 05:41 pm (UTC)(no subject)
From:(no subject)
From: