/sci/ - Science & Math

and how does that change anything for non-nerds?

The base should be a square, since it halves the number of maximum possible repeating digits.
16 is the base of choice.

>>10483945
who the fuck would advocate 12 over 16

>>10483945
>base 2
Not compact enough to be efficient; base 6 is truly superior since it's both a small base and it has a lot of factors for its magnitude.
The first ugly ratio in base 6 is 1/11, and no one uses 11ths.

The only problem with base16 is that it needs 6 new number characters beyond the standard 10. This can be tricky especially if algebra is involved.

We should be in base i

>>10484587
I meant to write base pi but base i would be fun too

>>10483945
I agree there's no reason to have a base with a repeated factor. Numbers on the clock no better than fingers on our hands.

>>10484587
>>10484590
base pi is retarded, base i sounds way more, one could say, based

In fact I think you're on to something

10=i, 20=2i
but then
100=i, 200=2i
1000=i, 2000=2i

log_10(i)=1
log_10(-1)=2
log_10(1)=4

balanced trinary is best

>>10484551
16 isnt evenly divisible by 3

>>10484643
l2arithmetic pleb

>>10484643
Just use 5/16 or 11/32.

>>10484650
>>10484652
the whole point of base 12 is so you dont have to do that.

>>10484682
can't even divide by 5 though

>>10483945
Wait, how did you fit all of the 12 numbers on the base-ten clock? Wouldn't you need to shift them some?

>>10484695
Why would you want to divide by 5?

>>10484727
noon/midnight is 0 instead of 12

>>10484624
>base i sounds way more, one could say, based
Slickest thing i've heard all day

If I started exlusively calculating, working and thinking in a non base 10 system, how long would it take to really master it? And I mean REALLY master it, i.e. get as "fluent" in it as in base 10. I imagine it's quite hard for the brain to get used to a new system if you've only ever used a single one.

>>10484891
less time than learning a new language or even a new coding language but longer than it takes to get used to a new keyboard layout. The only part that's different is the numbers.

> bases should maximize factors
not even picking prime bases for their basedness

>>10483945
no base 10 is best because we have 10 fingers

>>10485039
base 2 > base 10 >>>>>>>> base 6 >> base 12

>>10483945
>>10485039
>>10486521

>>10484744
Yeah, but where did they put 11 and 10? There is no room.

>>10483945
Base 12 and base 2 are just as stupid as eachother when compared to base 10
>10 fingers
>5 on each of 2 hands
>5*2 is 10
>base 2 has giant strings of numbers for numbers that are literally small in other bases
>we already all have 10 symbols memorized, we lower it
>really easy to tell if a number is evenly divisible by 2 or 5
>easy to tell if a number is evenly divisible by 3 4 6 8 and 9
>that's almost every number below the base
>why double the symbols you memorize when you have base 6 for a factor that's already there? 12=2*6
>6 is also stupid because we already have a trick to check for 3s, but will base 6 come up with an easy trick to check for divisibility by 5? probably not...

>>10483945
Base 2 is the true number system, because it is the divine number system.
Our whole universe is built on base 2. Everything is just a combination of multiple True or False values.
Who you are today, everything there is or will be, everything is made on base 2 and is just a combination of different true or false values.
Every decision you make, every action you take is either True(Godly) or False(Satanic).
All religions are aware of this divine law, and that is why they have polar opposites (God-Satan, Yin-Yang, Positive-Negative Karma, etc.)
You could try and fight me, but you would be fighting God himself.

>>10486970
X=10
E=11

>>10487010
You have 12 segments on each hand easily countable by using your thumb.

>>10487010
>will base 6 come up with an easy trick to check for divisibility by 5? probably not
if the sum of its digits is divisible by 5, then the number is divisible by 5.

>>10487400
Same is true for eleven in base twelve.

>>10484695
you cant do that with base 16 either

>>10485039
Each finger can be up or down. That makes it 1 bit. Ergo, we can count to 2^10 in binary.

>>10483945
Base 1 is the real based base, fucking pleb.

*posted in year 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

>>10487625
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

>>10487400
Ok I accept the base 6 master race, but base 12 is still dumb.

you guys are so fucking DUMB it doesn't matter at all as long as we DONT do what OP says and pick any number less than 10. Why? Because we're already used to 10 different symbols and names. The fact that we consider round numbers round is only because we're so used to the decimal system.

>caring about divisibility and not advocating for a base 0
it divides everything but 0, you literally can't find a better number

>>10487603
Not to discredit your point, but you can only count to [math]2^{10} - 1[/math] on both hands. The counting starts at [math]2^{0}[/math] on the first finger, meaning the counting ends at [math]2^{9}[/math] on the tenth and last finger. Then you raise all of your fingers to get [math]2^{9} + 2^{8} + 2^{7} + \ldots + 2^{2} + 2^{1} + 2^{0}[/math], which is [math]\displaystyle \sum_{k=0}^{9} 2^{9-k}[/math], and I have found that, for whatever weird reason (I actually have no idea why this is), [math]\displaystyle \sum_{k=0}^{n} 2^{n-k} = 2^{n+1} - 1[/math] (in fact, [math] \displaystyle \sum_{k=0}^{\infty} 2^{n-k} = 2^{n+1}[/math]), so [math]\displaystyle \sum_{k=0}^{9} 2^{9-k} = 2^{10} - 1[/math].
Now, if you include your toes, you can count up to [math]2^{20} - 1[/math]!

>>10483945
Personally I like Base Zero, it's the simplest and takes no time at all to learn everything about.

>>10490335
No, you can represent 2^10 different numbers with your fingers alone and 2^20 with toes included. You seem to be forgetting that all your fingers (and toes) can be down.

>>10491539
You can represent [math]2^{10}[/math] different numbers with your fingers alone (and [math]2^{20}[/math] with your toes included), but one of those numbers (the one represented with all your digits down, as you mentioned) is [math]0[/math], so that is [math]2^{10} - 1[/math] nonzero numbers you can count to on your fingers (and [math]2^{20} - 1[/math] nonzero numbers you can count to including your toes), so you can therefore only /count to/ [math]2^{10} - 1[/math] on your fingers, [math]2^{20} - 1[/math] on your toes, and, in general, [math]2^{n} - 1[/math] on [math]n[/math] digits.