Comments on: There are 10 kinds of people - those who will understand this post and those who won't

There are 10 kinds of people - those who will understand this post and those who won't

mr_crash_davis — Sat, 02 Feb 2008 15:19:20 -0800

Congratulations to member 10000000000000000! (even though he/she has yet to complete the signup process)

By: googly

googly — Sat, 02 Feb 2008 15:24:10 -0800

I think it really rather base to post something like this.

By: langedon

langedon — Sat, 02 Feb 2008 15:24:31 -0800

65535 is the integer after 65534 and before 65536.

I have that on good authority

By: Artw

Artw — Sat, 02 Feb 2008 15:26:52 -0800

Numerology must be really boring in binary.

By: jessamyn

jessamyn — Sat, 02 Feb 2008 15:35:33 -0800

Oh thank you for this.

By: cortex

cortex — Sat, 02 Feb 2008 15:38:33 -0800

I know a hex that would have saved you some digits.

By: XQUZYPHYR

XQUZYPHYR — Sat, 02 Feb 2008 15:42:01 -0800

This has "slow day" written all over it.

By: zeugitai_guy

zeugitai_guy — Sat, 02 Feb 2008 15:43:05 -0800

My zip code growing up was 65536. Never yet have I mailed a letter with 2^16 as the zip code and had it get there properly....

By: Astro Zombie

Astro Zombie — Sat, 02 Feb 2008 15:52:39 -0800

Binary jokes? Honestly?

By: Kattullus

Kattullus — Sat, 02 Feb 2008 15:52:43 -0800

Did you ever try, zeugitai_guy?

By: CKmtl

CKmtl — Sat, 02 Feb 2008 15:52:59 -0800

NERDS!!

By: Skygazer

Skygazer — Sat, 02 Feb 2008 15:53:11 -0800

That's a lot of sock puppets.

By: ericb

ericb — Sat, 02 Feb 2008 15:58:40 -0800

Ornery jokes? Honestly?

By: flatluigi

flatluigi — Sat, 02 Feb 2008 16:14:28 -0800

This would be a perfect time to close the signups again.

By: weapons-grade pandemonium

weapons-grade pandemonium — Sat, 02 Feb 2008 16:18:09 -0800

Take my wife. Please.

By: danb

danb — Sat, 02 Feb 2008 16:20:21 -0800

Orrery jokes?

By: davey_darling

davey_darling — Sat, 02 Feb 2008 16:21:11 -0800

Has anyone else been getting jrun errors today?

By: weapons-grade pandemonium

weapons-grade pandemonium — Sat, 02 Feb 2008 16:36:57 -0800

Yes.

By: timeistight

timeistight — Sat, 02 Feb 2008 16:44:58 -0800

Has anyone else been getting jrun errors today?

Yes. It's because we've used up all the account numbers.

By: caddis

caddis — Sat, 02 Feb 2008 16:47:00 -0800

lacking the image tag and thus the migs-signal (careful, crash will turn it to tubgirl on you, you have been warned), crash channels miguel. it's almost like a seance.

By: jessamyn

jessamyn — Sat, 02 Feb 2008 16:55:32 -0800

Orrery jokes?

There are no orrery jokes on that page. I hate you Milkman Dan.

By: Jon Mitchell

Jon Mitchell — Sat, 02 Feb 2008 16:59:39 -0800

I think it really rather base to post something like this.

I think it's rather base, too.

By: Jon Mitchell

Jon Mitchell — Sat, 02 Feb 2008 17:00:43 -0800

I know a hex that would have saved you some digits.

No-one wants to hear you effing and blinding.

By: languagehat

languagehat — Sat, 02 Feb 2008 17:11:13 -0800

Orrery joke.

By: rtha

rtha — Sat, 02 Feb 2008 17:34:24 -0800

I don't understand anything y'all are talking about.

please don't kick me out.

By: zeugitai_guy

zeugitai_guy — Sat, 02 Feb 2008 17:50:37 -0800

Did you ever try, zeugitai_guy?

Of course I tried; I'm on MetaFilter now, aren't I? I can't imagine that the motivations for the two are mutually exclusive....

By: pyramid termite

pyramid termite — Sat, 02 Feb 2008 17:57:00 -0800

what's his name - "buffer_overrun" ?

By: jessamyn

jessamyn — Sat, 02 Feb 2008 17:57:01 -0800

I don't understand anything y'all are talking about.

The number 10000000000000000 in base two (hence googly and Jon Mitchell's joke) or binary [where you can only use zeroes and ones instead of 1-9 for counting. You may have also seen hex codes for HTML colors and you see A-F in them because you can have "numbers" up to sixteen so A is another way of saying eleven only using one place instead of two, hence cortex's joke] is the same as 65535 in base ten. So it's like a one in the sixteenth place and zeros in th rest of them (as zeugitai_guy refers to). Computers use binary internally. So, it's like we're saying "welcome user 30000" or another round number, except extremely nerdily and sort of in code.

Milkman Dan is from the somewhat absurdist/dark comic Red Meat, there's a little girl named Karen who says "I hate you Milkman Dan" often. An orrery is a representation of the planets and sounds sort of like ornery.

By: oddman

oddman — Sat, 02 Feb 2008 17:59:20 -0800

Wow, I finally, finally get that "there are 10 kinds of people" line.

Thanks MetaFilter!

By: googly

googly — Sat, 02 Feb 2008 18:13:29 -0800

10000000000000000 is impressive. A nice round number to end things on. But remember this orrery fact, my friends:

Nothing ends, Metafilter. Nothing ever ends.

By: flapjax at midnite

flapjax at midnite — Sat, 02 Feb 2008 18:20:01 -0800

The user exists. I want to believe. The user exists.

By: flapjax at midnite

flapjax at midnite — Sat, 02 Feb 2008 18:21:27 -0800

I think it really rather base to post something like this.

BASE!! How low can you go?

By: Tehanu

Tehanu — Sat, 02 Feb 2008 18:58:22 -0800

You. Are. All. Such. Nerds.

Not that there's anything wrong with that.

By: rtha

rtha — Sat, 02 Feb 2008 19:09:05 -0800

The number 10000000000000000 in base two (hence googly and Jon Mitchell's joke)...

*hugs jessamyn*

By: loquacious

loquacious — Sat, 02 Feb 2008 19:14:04 -0800

I CAN'T BELIEVE THIS BASIST SHIT.

I DEMAND RETROACTIVE POSTS FOR BASE 4, BASE 8, BASE 16 AND BASE 3.141592653589793238462643383279502884197169399375105820974944 59230781640628620899862803482534211706798214808651 3282306647093844609550582231725359408128481117450284102701938521105559 64462294895493038196442881

By: tommasz

tommasz — Sat, 02 Feb 2008 19:19:49 -0800

The numbers, they overflow?

By: 31d1

31d1 — Sat, 02 Feb 2008 19:22:31 -0800

2x12=24
1x12=12
0x12=18

By: jessamyn

jessamyn — Sat, 02 Feb 2008 19:34:37 -0800

31d1 = 12753 = 0011000100110010001101110011010100110011

By: flabdablet

flabdablet — Sat, 02 Feb 2008 19:36:24 -0800

That is all.\0

By: flabdablet's sock puppet

flabdablet's sock puppet — Sat, 02 Feb 2008 19:41:25 -0800

Actually, 31d1 = 19470, but who's counting?

By: CKmtl

CKmtl — Sat, 02 Feb 2008 19:44:23 -0800

31d1 is a paradox. How can you make 31 rolls of a one-sided die?

By: pjern

pjern — Sat, 02 Feb 2008 19:45:59 -0800

Oh hey, I'm 0x4AA5

By: Artw

Artw — Sat, 02 Feb 2008 19:54:34 -0800

31d1 is a paradox. How can you make 31 rolls of a one-sided die?

Did anyone catch that lead balloon mythbusters episode? Icosahedron my arse, that was clearly a d20.

By: Artw

Artw — Sat, 02 Feb 2008 19:58:10 -0800

(Also a d1 is spherical with a large 1 printed on it. I beleive you get two extra large d1s with every set of billiard balls. Each set also contains an unfortunate number of "weighted" d1s which have been rigged to roll numbers other than 1, so watch out for those)

By: cortex

cortex — Sat, 02 Feb 2008 20:03:07 -0800

so A is another way of saying eleven only using one place instead of two

I don't want to start any shit, because jessamyn's roundup of the obscure humor is really...

[furtive glance at languagehat]

...AWESOME, but. But!

A is actually another way of saying ten.

1 2 3 4 5 6 7 8 9 A B C D E F

A-F = 10-15, because hexadecimal is base₁₆; instead of a "tens place" and a "hundreds place" like we have in base₁₀ (where ten = 10¹, hundred = 10², etc), hex has a "sexteens place" and a "two-hundred-fifty-six place" where sixteen = 16¹, 256 = 16², etc.

So in hex, 1 = 1, 2 = 2, 9 = 9, A = 10, F = 15. 10 = 16: 1 in the sixteens place plus zero in the ones place. 11 = 17; 1F = 31; 20 = 32. 100 = 256 (1 in the 256s place, 0 in the 16s place, 0 in the 1s place).

So 1000₁₆ = 16³ = 4096₁₀. We don't generally append a base subscript to base₁₀ (decimal) numbers, because barring a context where base would be in doubt it's what folks just assume is the number system we're working in.

And, thus, yes, finally: 10000₁₆ = 16⁴ = 65536₁₀. Which is nerdy enough a thing to be glad about, but calling it ahead of time? Yow.

(Part of the significance of 65536 is that 2¹⁶ is a big number in computer science. Remember when the Super Nintendo and the Sega Genesis came along, and everybody was shitting their pants over "16-bit" this and "16-bit" that? This is the number that made that so pant-shittingly significant. Why that was an exciting thing is a much longer and more focused and less beer-and-sake-driven discussion, but suffice it to say that this isn't just a round (binary/hex) number; it's one of the round numbers.)

By: jessamyn

jessamyn — Sat, 02 Feb 2008 20:05:14 -0800

I MEANT TEN!!!

By: RichardP

RichardP — Sat, 02 Feb 2008 20:05:24 -0800

jessamyn wrote: ...A is another way of saying eleven...

Actually, in hexadecimal A is ten. :-)

By: RichardP

RichardP — Sat, 02 Feb 2008 20:07:49 -0800

Ha! I'm too slow.

By: Mid

Mid — Sat, 02 Feb 2008 20:08:20 -0800

Duuuude.

By: cortex

cortex — Sat, 02 Feb 2008 20:11:30 -0800

Did anyone catch that lead balloon mythbusters episode?

Jamie?

By: octothorpe

octothorpe — Sat, 02 Feb 2008 20:16:32 -0800

3,735,928,559

By: flabdablet

flabdablet — Sat, 02 Feb 2008 20:20:46 -0800

Mmmm, cow hash

By: sleepy pete

sleepy pete — Sat, 02 Feb 2008 20:52:27 -0800

This is the worst fucking callout ever.

By: hangashore

hangashore — Sat, 02 Feb 2008 20:53:01 -0800

Mmmm, cow hash

I prefer 0xDEADBEEF.

By: Jon Mitchell

Jon Mitchell — Sat, 02 Feb 2008 21:12:44 -0800

I know a hex that would have saved you some digits.

No-one wants to hear you effing and blinding.

...because a hex is a curse, you see, and effing an blinding is cursing, and F is the last digit of hexadecimal....oh, fine, fine, it wasn't funny. I'll stick to base 2 humour.

By: hangashore

hangashore — Sat, 02 Feb 2008 21:15:44 -0800

3,735,928,559

/bangs head on desk
Apologies to octo and flabba.

By: ryanrs

ryanrs — Sat, 02 Feb 2008 22:03:58 -0800

Why that was an exciting thing is a much longer and more focused and less beer-and-sake-driven discussion

Think of mental arithmetic vs. pencil & paper. When the numbers are small, you can do the calculations in your head. But for large numbers, you need to write stuff down, which is slow and kind of a pain in the ass.

The same is true of computers. For the 8-bit NES, "small numbers" are less than 2^8=256. For the 16-bit SNES, "small" is less than 2^16=65536. That's quite a difference, hence the pant-shitting.

These days people are shitting themselves over 64-bit processors.

By: LobsterMitten

LobsterMitten — Sat, 02 Feb 2008 22:40:18 -0800

I love the jokes but I also love -- even more -- the explaining. Homemade chocolate-peanut butter nuggets in crinkly waxpaper wrappers, all around!

By: pupdog

pupdog — Sat, 02 Feb 2008 23:18:42 -0800

I may be drunk, but I can't decide if googly wins for the Watchmen reference, or flapjax wins for the PE reference.

That sounds like the best mashup ever, actually...

By: flabdablet

flabdablet — Sat, 02 Feb 2008 23:20:07 -0800

Anyone for 4,039,822,362?

By: Afroblanco

Afroblanco — Sat, 02 Feb 2008 23:36:57 -0800

You mean user -32767?

By: Afroblanco

Afroblanco — Sat, 02 Feb 2008 23:37:20 -0800

BTW, my birthday is a power of two. There are only six such birthdays in a year.

By: vacapinta

vacapinta — Sun, 03 Feb 2008 00:10:17 -0800

You guys are missing the significance of this!

Now, Matt has to get a second Excel spreadsheet to keep the server running.

By: vacapinta

vacapinta — Sun, 03 Feb 2008 00:21:08 -0800

..and everybody was shitting their pants over "16-bit" this and "16-bit" that? This is the number that made that so pant-shittingly significant...

To be exact, the number is 65535 as in 0-65535.

65536 is a buffer overflow.

By: ssg

ssg — Sun, 03 Feb 2008 00:22:29 -0800

Surely Matt is running the latest and greatest version of Excel: now with 2^20 rows!

By: astruc

astruc — Sun, 03 Feb 2008 02:10:43 -0800

I'm pretty!

By: DreamerFi

DreamerFi — Sun, 03 Feb 2008 02:29:05 -0800

There are 10 kinds of people. Those who understand trinary, those who don't, and those who mistake it for binary.

By: ryanrs

ryanrs — Sun, 03 Feb 2008 03:58:34 -0800

To be exact, the number is 65535 as in 0-65535.

The number of representable values is more significant than the largest representable value. What is the significance of 2^N-1 in the context of two's complement integers or floating point values? Word size affects a lot more than just UINT_MAX.

65536 is a buffer overflow.

More like buffer underflow, amirite?

By: GrammarMoses

GrammarMoses — Sun, 03 Feb 2008 06:46:47 -0800

Math class is hard.

By: googly

googly — Sun, 03 Feb 2008 08:21:27 -0800

I may be drunk, but I can't decide if googly wins for the Watchmen reference, or flapjax wins for the PE reference.

That sounds like the best mashup ever, actually...

I'd pay money to hear that.

By: team lowkey

team lowkey — Sun, 03 Feb 2008 10:07:18 -0800

DreamerFi: "There are 10 kinds of people. Those who understand trinary, those who don't, and those who mistake it for binary."

I believe the preferred term is ternary. I'm sure you didn't mean any offense, but there's a lot of historical baggage associated with the term ("Try? Nary!"), and think there's been some push to simply refer to it as "little decimal".

By: frecklefaerie

frecklefaerie — Sun, 03 Feb 2008 10:17:23 -0800

Caddis' comment made me remember that I made a macro (sorta) for my beer drinking club called "Tea."

By: shmegegge

shmegegge — Sun, 03 Feb 2008 10:48:56 -0800

I also don't think this is rather base.

By: deborah

deborah — Sun, 03 Feb 2008 14:46:21 -0800

Math is hard.

Many thanks to rtha for being brave enough to admit s/he didn't understand (I didn't either) and to jessamyn and cortex for their explanations. Which, surprisingly enough, I understood.

By: ersatz

ersatz — Sun, 03 Feb 2008 18:58:56 -0800

The same is true of computers. For the 8-bit NES, "small numbers" are less than 2^8=256. For the 16-bit SNES, "small" is less than 2^16=65536. That's quite a difference, hence the pant-shitting.

Didn't your character still fall into a bottomless pit if you left the controller on the couch?

By: Phire

Phire — Sun, 03 Feb 2008 19:09:09 -0800

Dammit vacapinta, beat me.

Also. Cortex, you amuse me. I'm glad we keep you around.

By: Plutor

Plutor — Mon, 04 Feb 2008 02:59:06 -0800

flapjax at midnite: "BASE!! How low can you go?"

There is unary, which is a fancy way of saying "you count the number of digits/rocks/whatevers". But really, if you want low bases, there are negative bases that can actually represent all integers without having to use a negation sign. Why we still usea positive base is beyond me.

It gets better. Knuth's quater-imaginary base is enough to make you cry. And non-integer bases like φnary are just daft.

By: flapjax at midnite

flapjax at midnite — Mon, 04 Feb 2008 03:06:46 -0800

Non-integer, please!

By: flapjax at midnite

flapjax at midnite — Mon, 04 Feb 2008 04:13:58 -0800

Oops. Sorry about the misspelling. Lemme fix that:

Non-integah, please!

By: flapjax at midnite

flapjax at midnite — Mon, 04 Feb 2008 04:14:59 -0800

there are negative bases that can actually represent all integers...

Represent!

By: cortex

cortex — Mon, 04 Feb 2008 06:40:23 -0800

There is unary

which a lot of people for some reason insist on labeling "base₁" even though the positional numbering system that base_n systems denote doesn't actually port over to the tally-up-the-marks system those same people are actually talking about when they misapply the base-number system.

Do you know how base₁ would actually work? It would have one digit; where binary has two, 0 and 1, with respective place-values of 0 and 1, base₁ would have only 0. You could represent exactly one value in this system: 0. The system has no (zero?) expressive power.

When we represent strings in decimal, we casually omit "leading zeroes": any zero digit in a position greater than the most significant non-zero digit gets left out. So if you're counting jellybeans, and you get up to 327, you write down "327", not "0327". Not "0000327". And certainly not an infinite number of zeros followed by 327.

So with a true base₁ system, what meaningful value could you express? Well, the number 0. Which you could write out as a single digit, reasonably enough: "0". And if you were feeling weird, you could write out some leading digits: "00000". It's still zero, of course, so that's silly. You could even write out a million zeros, or an infinite string of them, but, yes: still just 0. Because it's 0 in the 1¹ = 1s place; and 0 in the 1² = 1s place; and 0 in the 1³ = 1s place; and so on all the way up. 0 + 0 + 0 = 0, no matter how many additions you do on the left side.

When you've got the tally system, aka unary, you're not doing base-positional representation. You're counting the number of digits in a string. Which is a perfectly reasonable way to count things—that's how arithmetic is defined, when you get down to the bare metal—but it's not base-position, and shouldn't be called as much.

We don't count in decimal by adding up the values of all the digits in a number: "143" does not equal "1 + 4 + 3 = 8". It's not how the system works, even if you get rid of all but one digit and then even elect to decide to call 0 "1" (or "|" or "/" or whatever you like). So "unary" is kind of misleading, and, dammit, "base₁" is right out.

By: Plutor

Plutor — Mon, 04 Feb 2008 07:41:09 -0800

(a) In base 10, 0.999.. is equal to 1.
(b) The greatest digit in base 10 is 9.
(c) In base 1, the greatest digit is 0.

&there4; in base 1, 0.000... is equal to 1.
QED

By: cortex

cortex — Mon, 04 Feb 2008 07:48:45 -0800

I will noogie you so hard, mister.

By: quin

quin — Mon, 04 Feb 2008 08:17:55 -0800

I think it really rather base to post something like this.

So, wait... we are accepting protons now?

By: vacapinta

vacapinta — Mon, 04 Feb 2008 12:56:49 -0800

Do you know how base1 would actually work? It would have one digit; where binary has two, 0 and 1, with respective place-values of 0 and 1, base1 would have only 0. You could represent exactly one value in this system: 0. The system has no (zero?) expressive power.

No, Unary is bijective.

You can keep the zero by not treating it as zero but as null. So your only digit is 1.

By: cortex

cortex — Mon, 04 Feb 2008 13:24:03 -0800

Sure, and that'll buy its way into my thin graces—hence "unary is kind of misleading", insofar as it makes the explicit comparison with "binary" and so suggests some analogous system of representation that's not actually valid, but, hey, what's in a name, etc.

But calling it "base₁" is just dang irresponsible. Even if it is a bijective system with base b=1, in the context of a discussion of bases in (implicitly) positional systems it's just serious crime-against-nature stuff to call unary "base₁". It'd be like saying jumping into a discussion of addition with "yeah, so F + 3 = 2 in base₁₆" and neglecting to mention "in, you know, modular arithmetic". Not technically wrong, but so unutterably cart before horse in terms of state assumptions that it can only lead to tears.

Then again, Plutor didn't call it base₁, so I'm pretty much flying off the handle and chewing scenery unprompted.

Then again again, every goddam time it comes up anywhere else, and burns me, BURNS ME like acid. I hate to see people newly grokking the idea of alternate positional bases and then get thrown a spike trap like that.

By: mr_crash_davis

mr_crash_davis — Mon, 04 Feb 2008 13:25:25 -0800

'There is unary'

I thought this said "urinary", which would nearly be the same, being number one and all.

By: languagehat

languagehat — Mon, 04 Feb 2008 13:28:30 -0800

cortex: I suggest you strip down, paint yourself blue, oil your claymore, and take a double fistful of mushrooms. Then the next time some motherfucker says "base₁"... you'll be ready.

By: vacapinta

vacapinta — Mon, 04 Feb 2008 13:29:06 -0800

Then again again, every goddam time it comes up anywhere else, and burns me, BURNS ME like acid. I hate to see people newly grokking the idea of alternate positional bases and then get thrown a spike trap like that.

True enough. Then again, I use base PI, which does require an infinite number of digits to represent a number like 4, but I consider it a minor inconvenience.

By: Neiltupper

Neiltupper — Mon, 04 Feb 2008 14:09:28 -0800

And down at the other end we have a brand new Number 1

By: Kattullus

Kattullus — Mon, 04 Feb 2008 15:01:58 -0800

So scratching into the wall of one's prison cell to count the number of days spent in there is done in unary?

By: flabdablet

flabdablet — Thu, 07 Feb 2008 16:07:10 -0800

No. It's done in tally marks. There is no unary positional notation.

Tally marks and derivatives (such as Roman numerals) are what was superseded by positional notations for the purposes of calculation. Tally marks are still much easier to use for making frequently updated counts, though.

By: Kattullus

Kattullus — Thu, 07 Feb 2008 18:36:27 -0800

So what's the difference between unary systems and tally marks? From googling around it all I've found is pages that say that they're equivalent.

By: cortex

cortex — Thu, 07 Feb 2008 20:16:35 -0800

A tally mark is a unary system, but as vacapinta pointed out, it's a unary bijective system, not a unary positional system. So if you read "unary" as meaning "like binary, but base 1", then that's nothing like the tally mark system. If you read "unary" as meaning "this is what we're calling the tally mark system, because, hey, woo, confusion is awesome", then there is no difference between unary and the tally mark system at all.

Whee!

By: Kattullus

Kattullus — Thu, 07 Feb 2008 20:39:04 -0800

Woo! Confusion is awesome!

Thanks for clearing up mine, though.

By: Burhanistan

Burhanistan — Thu, 07 Feb 2008 20:47:45 -0800

Base-6 numbers from Ur will clear up any questions you had about pi.

By: CKmtl

CKmtl — Sun, 10 Feb 2008 08:37:56 -0800

An orrery is a representation of the planets...

And if you want one really badly, this guy will make one for you. via