>>16768640
>Or 1:10 for 0.1, defining the base with a ratio.
A radix can't be defined by a fraction because you can't count from 1 to 10 in a fractional number of steps, you need a discrete integer amount of symbols to count with.
>You used fractions which does not use a base system
Ratio is when you divide a multiplicity of the base by a different multiplicity of the same base, so yes, there is a base system.
>>leave out the divisor
I didn't leave out the divisor, I made it ambiguous so either 2 or 3 could be the divisor since either way 2/3 or 3/2 its a ratio.
>you also use "metric unit", which is 10. Now its called "radix".
No 10 is not a base unit, 1 is always the base which is way number systems always goes base through radix (base-10) so 10 is 10 times the base unit, not the base unit itself.
>Now its called "radix"
No, radix is the amount of symbols in the numbering system, as you said yourself, the base is always 1, no matter the radix of the number system and 10 is always when the number system rolls over to a new digit.
>That isnt 1/3rd, thats 1 over 0.3.
Yes because you didn't say 1/3, you said 10/3, but 10 isn't the base, it is the radix.