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Octal is base 8. Decimal is base A. Hexadecimal is base G. Any questions?
every unsigned system is base -1 …or maybe -1+1
Jesus Christ.
I just realized that we call binary base2 and there’s no 2 in that numbering system. We call hexadecimal base16 but there’s no 16 (at least not like we know it). But then why is base10 base10? We have a 10…but it’s not a single digit number.
Why is this reminding me of Project Hail Mary?
It’s because we count the 0… no? 0 and 1, base 2. 0123456789, base 10.
The same is true for all bases. What we call base-4 in base-10 is 0123. In base-16 it’s 0123456789abcdef, where f is what we would call 15
Love that book!
(There is no 10 in base-10, which is why we construct it out of two other numbers)
Every base has ten, but it’s made of two digits
Binary 0, 1, 10 Ternary 0, 1, 2, 10 … Decimal 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Hex 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10
Each has the right count of digits for its base before you go two-digit - binary has two (0, 1), etc
more precisely, every base has 10, but it’s usually not equal to ten. ten is a fixed value, while 10 depends on the base. you still count normally (one two three four five), even in a base two system. you just write it differently.
I don’t see the need to bring values into this, this is about the naming of number systems. We really have no more claim to ten being this many (…) than hexadecimal people have to claim ten has this many (…)
10 as the first overflow of digits is not a clear vlaue, it depends on the notation because its base is unclear.
Ten as the English word is 100% defined. The issue is we translate seamlessly between the word and number, but there really is no confusion when writing ten. 10 in hex has a different english word: sixteen.
English number names are mostly decimal-based, but their values are still fixed. Ten isn’t the word for “the first time our number system overflows”, it’s an amount.
So I disagree. Ten will always be (…) this many, because it’s an English word.
If you are working in a different number system with other people ten loses its unique meaning just like any word that has another technical meaning.
In code 0x10 is hex 10 (what you’d call sixteen), but in spoken technical English you don’t need to pronounce the 0x
because then every base would be ‘base 10’
That or the decriarchy has been normalizing the decimal counting system as the default one for far too long!
What is this “8” you refer to? Here in the land of people without thumbs, 10 comes after 7.
If you have a problem with that you must also have a problem with the other two
What about unniftimal? (Base 37)
If there’s no agreed symbol for digit 37, you can call it Base 37A (or express it in another base of your choosing).
In case the formatting doesn’t work, that A is supposed to be subscript
You gotta tell the alien that you use base-22
Base 20. 1,2,3,4,10,11,12,13,14,20
pretty sure base 4 goes “1, 2, 3, 10”
just as theres no single numeral for 10 in base 10, theres no numeral for 4 in base 4.
1 2 3 10 11 12 13 20 21 22
That’s base 5.
No it’s base 10
Can we all use base 12?
It will be a shower of shit for like 50 years but then it will be marginally better for pretty much everyone.
This would be great. I was researching why we don’t have 10 based clocks and then I saw a video about why a 12 and 60 based system is actually much more convenient and now I would love a ‘dozen based metric system’
so, 60 years in base 10
Why base 12 though? Base 16 is even better. And base 60 is even better than that!
Common denominators. You can divide base 12 into half, thirds, fourths, and sixths and still use integers. I find thirds to be particularly useful, so base 16 is out. Base 60 can do it, but that’s getting unweildly.
Can’t do base 12 on fingers. I prefer base 8.
You can do base 12 on fingers! You count each of the 3 segments on each finger and ignore the thumb (you can use it to keep your place), so you can count up to 12 on just one hand! :)
This is why I’m not totally sold on the idea that we use base 10 because we have 10 fingers. There are a lot of ways to count with your fingers. Plus, there are many cultures throughout human history that use something else. Base 10 in modern times might just be a historical quirk.
Some societies used base 27 from counting body parts. Sumeria famously used base 60. It’s why minutes and hours are divided by 60
iirc, the reason that time is base 60 is because some ancient peoples figured out how to count to 60 on their fingers.
I can count to 1023 using both hands but only to 31 using one.
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8 fingered Johnny…
Just add left arm, right arm to it or, if you’re a guy nose and dick.
Certainly, especially the male version, it would make the visual act of counting far more funny to watch.
I think I’m starting to warm up to the whole base 12 idea…
Base 6. One hand and a arm. Let’s me get all the way to 41.
There are no common denominators in base 12 that you can’t use in base 84, and the latter also has 7 as a common denominator.
I, for one, vote for changing our base to 84.
Base 69?
Nice
Some people argue that it would be harder to count on your fingers but we could just surgically give everyone more?
When was the last time you’ve actually needed to count something on your fingers?
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I find it useful if I’m counting only specific instances of something that meet some criteria. That way my brain can focus on picking out the right things and not have to worry about keeping the current count in mind. I use the method with your thumb on each segment of your fingers though, so you can get up to twelve with one hand and 156 with both
There are 12 sections on your fingers (excluding your thumb) you then use your thumb to count to 12 on one hand.
Two hands can allow you to count to 24. Which is way higher than 10. Base 12 is better!
Use the other hand to count twelves! Each time you fill up one hand, add one to the other. That way you can get all the way to 156, which is probably more than you’d ever want to count one by one anyway
Bold of you to assume I’d ever remember this counting technique. Hell I’m shocked I remember counting my fingers for base 10…
Binary’s the way. 1023 with 10 fingers
I like the idea of some numbers being popular hand gestures.
4 - Fuck you; 17 - Shaka (hang loose); 18 - Metal horns; 19 - “I love you”; 132 - Double fuck you
To be fair, you should be comparing 2 hands in base 12 to 2 hands in base 10, I. E. 20:24. Still a real difference, but not the 10:24 difference you pointed out.
With 2 hands you can count to 144.
- 12*12 on one hand + 12 on the other one
Binary is very good for counting with your fingers. With both hands you can count to 1023. One hand is 31, which is still usually more than you typically need to count. It’s also trivial to do once you know how binary works. It takes very little thought, though potentially the decoding could take a bit depending on your proficiency.
Billions of years ago, our collective great-great-great-[several million more]-grandparent evolved a fin with a five bone structure. That idiot didn’t know anything about common denominators, and now we’re stuck with this numeric system that can’t divide things into thirds without causing issues.
Vertebrates appeared less than a billion years ago.
nah we should use binary, anything else is cringe.
That’s Acadian, right? It was originally based on the number of easy to count bones in your fingers (12-24)
50 years? I bet we couldn’t even agree on how to write “11” & “12” on such short notice. (See: date format, encoding, etc)
Well we write 12 like this: 10
It’s easy
oops I mean “10” & “11”
we could just go with the hexidecimal way and go with A,B,C for 10,11 and 12
No, 12 in base 12 is 10, not C. But yes, 10 can be A and 11 can be B
ah right, thanks
Dude’s out here trying to get us to use base 13.
Why not?
Why not use a large prime as the base?
Honnest answer, 1/2 in DEC is 0.5 easy. 1/2 in base 13 is .6666666666… Easy but ugly. You want a base that has comon fractions easily represented by decimals. People like dozenal since many fractions are easily represented. 1/2 = 0.6, 1/3 = 0.4, 1/4 = 0.3
I’m personally a fan of hexidecimal partly because I’m a programmer and partially because it can be halved several times
it’s almost like you’d have to use a different notation system to express a different base…
Is 1/2 in base 13 not 0.65?
Why use a fixed base? Or why not use an irrational number like e, the most efficient base
I still think some largish prime, like 37 hits the perfect spot of being usable enough for people to use, but still useless enough to stop almost everybody from learning any advanced math.
But yeah, making integers non-representable is a serious trade-off that deserves consideration.
Ahh yes, let’s introduce floating point rounding errors for one half. Sounds fun.
Lets use base Pi and put an end to that infinite digit bullshit.
That’s pretty confusing in algebra, maybe normal sentences too
Over my dead body.
The current standard seems to be an upside down 2 and 3
An upsidedown 3 is just a 3…?
Rotated, not flipped.
42* years. Centuries are now 84 years. We are living in the 19th century! I rate this idea 12/12.
I rate it A/10, it’s a really efficient numbering system but I personally will have a really hard time adjusting
5/7 movie
shut the f*k up rob
Or better yet, base 6?
I get this comic which is about translation errors.
Comments are wildly off …
…BASE!
Clearly the human uses base 22.
That’s very clever. Maths checks out.
This one took me a bit.
Wow I never thought about that.
But it is always like this:
let there be any base "b" That can represent a number by the sum of their positional digits: number = sum(d_i * b ^ i) where i is the position index and d_i is the digit at this position. (note: index starts with 0, from the least digit farthest to the right)So the (decimal) number 4 in base 4 is then
1×4¹ + 0×4^0 = 10And (decimal) number 8 in base 8 is
1×8¹ + 0×8^0 = 10And 10 in base 10:
1×10¹ + 0×10^0 = 10All your bases belong to 10
All your base are belong to 10
Someone set us up the base!
You have no chance to survive make your time.
Which is why to write hexadecimal, we added letters to it, because there isn’t a digit for “12”.
Looks like 0100 rocks to me
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00 = 0 01 = 1 10 = 2 11 = 3 100 = 4 …
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not base 1100; and it’s round!
I like that the alien has 4 fingers. Fitting!
It’s 10 fingers. Just keep your freaky 11 finger hands of this serious discussion
Wouldn’t it be 22?
Yes, in total, but 11 per hand
Base is for running on after hitting the ball.
The most reliable way to communicate bases would probably be using unary. Now if your alien is using unary, that might not work, but it should for all higher bases.
I’m not sure if I fully understand.
I was thinking, wouldn’t it be easiest to describe the system you use by taking the last number in your first decimum and then saying you increment it with one?
E.g. for base ten this would be: base 9 + 1
For binary it would be: base 1 + 1
For hexadecimal it would be: base F + 1
Etc.But if you’re talking to an alien that uses base 4, they don’t know what you mean by “base 9+1”. Wtf is a 9?
Yes. Although at least you will both be aware that you are using different systems
every base is not base ten, and i will fight you on this one.
binary is base two, or as i like to refer to it, the power of 2 base.
/r/swoosh
PS: Is there an equivalent in Lemmy for this yet?
waiting until people realize i said ten, instead of 10.
Ok then. In english, what would you call 4 in a base-4 system?
quad would be the formal root, so something based that, you could do a french thing where you go “half octal” you could just not use it because it’s a crime against humanity, and the joke here is dependent on the specific telling of the statement.
So, when you see 10 in base-4, you’d say “Quad”?
ok so correction, googling base 4 literally returns “Quaternary system” So there’s your answer lmao.
just because binary is called binary doesn’t mean 10 is binary, 10 is 2 in binary. (Reading from right to left.)
hexadecimal is similar 1F would be 16, assuming i got that correct.
We have the same thing in the decimal system as well. 10 is 10, not decimal, the reason it’s referred to as decimal is because it’s base 10, meaning that it has deca (10) possibilities it’s just used to provide an abstracted method of referring to base systems in word form, without using numbers, because numbers can be a little confusing sometimes.
You said ten, the joke didn’t.
yeah, and weird story, i’m not the joke.
In every base, a 1 in the second spot corresponds to the name of the base.
I remember someone trying to come up with a solution to this by generating a name for every single base, dunno if they’ve succeeded or not tho
Plot twist: there are 8 other stones and the alien is really using base 10 (or base 30 if you use base 4)
base 10 (in decimal) is expressed as “22” in base 4. 2*4 + 2
If there are 8 more stones…
Hate to explain my joke but I used yet another base
