this post was submitted on 23 May 2025
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In Chinese/Japanese, there's 四 rocks in both base 10, and base 4. (8 rocks would be 二四 in base 4).
I think the concept of "base" is easier to understand when you include a numeral for the highest base (10 = 十, 20 =二十).
Of course, arabic numerals are more concise, using position to imply meaning (21 = 二十一).
Doesn't base 4 only go up to 三? Like binary is base 2 and only has 0 and 1. 四 would be base 5.
In Arabic numerals base 2 has 0 and 1, and base 10 has 0 to 9, which is also 10 numeric symbols. Chinese has 10 numeric symbols for base 10, too, just a "10" symbol instead of a 0.
they already said that they have numerals for the base they use. from what I understood, basically imagine we use base 10 but have a numeral for it, let's say X. our numbers go like this:
1, 2, 3, 4, 5, 6, 7, 8, 9, X, X1,X2, X3, X4, X5, X6, X7, X8, X9, 2X, 2X1, 2X2, etc...
so i imagine it's similarwhen they use base 4:
1, 2, 3, 4, 41, 42, 43, 24, 241, 242, 243, 34...
mind that i have no knowledge on this and I'm only interpreting what i understood from the comment above.
Spot on. Good example! And 十 is indeed just X on it's side :D
But the extra numeral that you're representing with X would be base 11. It's like how hexadecimal uses A-F for 10-15. But the range of numerals still ends at 15 instead of 16 because the 0 exists.
you're conflating number systems. in this number system the positioning doesn't assign value. that's like saying Roman numerals are base 1001 because M.
ok but what about 16? there's symbols for powers of 10 but not for powers of 4
16 might break it.. 四四 makes no sense as 十十 makes no sense... you'd write 百 (100) instead.
And you get the same problem each time you go higher.
You'd need base 4 equivalents of 100 = 百, 1,000 = 千, 10,000 = 万, 100,000,000 = 億,.
Hmm, on the other hand you can have 十万 (100,000), so why not 四四 (16)? What's 20, though...