Base Number Jokes Explained - Numberphile Numberphile English (auto-generated) English

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there are ten types of people in the

-There are 10 types of people in the world.

world those who understand binary and

Those who understand binary, and those who don't.

those who don't okay there's really work when it's said

MATT PARKER: OK, it doesn't really work when it's said.

but written down the joke kind of holds

But written down, the joke kind of holds.

because if I do a one and then a zero

Because if I do a 1 and then a 0, that looks

that looks like the number ten because

like the number 10.

you expect it to be a normal base ten

Because you expect it to be a normal base 10 number.

number however if this is embroidery then this is our units column that's our

However, if this is in binary, then this is our units column.

twos column and so this actually equals

That's our twos column.

two in base ten and so you expect it to

And so this actually equals 2 in base 10.

be ten but it's not it's two and that's

And so you expect it to be 10, but it's not.

the joke there are actually two types of

It's 2, and that's the joke.

people those who knew this was binary

There are actually two types of people.

and those who didn't there are ten types

Those who knew this was binary, and those who didn't.

of people in the world those who

-There are 10 types of people in the world.

understand binary those who don't and

Those who understand binary, those who don't, and those who

those who didn't expect this joke to be

didn't expect this joke to be in base 3.

in base three okay no good point because

MATT PARKER: OK, good point, because I guess you--

I can guess you okay so it depends on

OK, so it depends on the base.

the base so if you've got one zero but this time it's in base three then now

So if you've got 10, but this time it's in base 3, then now

you've got a units column and then a

you've got a units column, and then a threes column, and then

threes column and then nines and so on

nines, and so on.

and so that in normal would numbers will be three and base ten and so the same

And so that in normal numbers would be 3 in base 10.

one in zero in a different base mean

And so the same 1 and 0 in a different base mean 3.

three hence the three categories there

Hence the three categories.

are ten types of people in the world

-There are 10 types of people in the world.

those who understand binary those who

Those who understand binary, those who don't, and--

don't and though you can generalize it to any base okay it if one zero in base B is going to equal V in base ten okay so just I mean you can do there's an

MATT PARKER: Look, you can generalize it to any base, OK? 10 in base b is going to equal b in base 10, OK?

infinite set of these jokes color up

There's an infinite set of these jokes.

there are ten types of people in the

world those who understand hexadecimal

-There are 10 types of people in the world.

and F the rest okay I give it to you

Those who understand hexadecimal, and F the rest.

that one is actually quite funny because

MATT PARKER: OK, I give it to you, that one is actually

now in hexadecimal which is base 16 one

quite funny. Because now in hexadecimal, which is base 16--

zero in base 16 still does mean there are 16 types of people and so there's

10 in base 16 still does mean there are 16 types of people.

the one category of people who

And so there's the one category of people who

understand a hexadecimal base 16

understand hexadecimal, base 16.

but then the remaining 15 in hexadecimal

But then the remaining 15 in hexadecimal--

15 is just the letter F and so when they

15 is just the letter F. And so when they say F the rest,

say F the rest they're saying 15 are the

they're saying 15 are the rest.

rest or I guess the joke is the double

Or I guess the joke is the double meaning, where if you

meaning where if you just say F in a sentence it means you're implying fools

just say F in a sentence, it means you're implying--

you're saying they're very foolish all

uh, fools. You're saying they're very foolish, all the people who

the people who don't understand

don't understand hexadecimal.

hexadecimal why do mathematicians confuse Halloween and Christmas

-Why do mathematicians confuse Halloween and Christmas?

because up 31 equals Dec 25

Because Oct 31 equals Dec 25.

okay so the joke here is that acht 31 equals Dec 25 and the surface reading is that this stands for October and this stands

MATT PARKER: OK, so the joke here is that Oct 31 equals Dec 25. And the surface reading is that this stands for October,

for December but it doesn't opt can

and this stands for December.

stand for the eighth thing because

But it doesn't. Oct can stand for the eighth thing, because October is the

October is the eighth month in them it

eighth month in the--

was until julius caesar messed with it

it was until Julius Caesar messed with it.

and dec used to be the tenth month blah

And Dec used to be the 10th month, blah, blah, blah.

blah so anyway instead of using these as

So anyway, instead of using these as months, you can use

months you can use acht to mean base

Oct to mean base 8.

eight so instead of 31 being in our normal base 10 setup if we put it into

So instead of 31 being in our normal base 10 setup, if we

base eight you have a units column you

put it into base 8, you have a units column.

have an eighth column and so you've now

You have an eights column.

got one unit and three eighths and three

And so you've now got one unit and three 8's.

eighths is 24 plus a single unit equals

And three 8's is 24, plus a single unit equals 25.

25 and so three one in base eight equals to five in base 10 which is y one equals

And so 31 in base 8 equals 25 in base 10, which is why one

the other and y a mathematician would

equals the other, and why a mathematician

would confuse them.

this video was supported by audible.com

BRADY HARAN: This video was supported by audible.com.

and if you'd like to download one of their hundred thousand titles for free

And if you'd like to download one of their 100,000 titles

go to audible.com slash numberphile

for free, go to audible.com/numberphile.

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I actually sampled the product myself in the last few weeks.

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I recommend those two as possible ones

So I recommend those two as possible ones when you

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audible.com slash numberphile and thanks

That's audible.com/numberphile, and

to them for supporting our videos

thanks to them for supporting our videos. [LAUGHTER]

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