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
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.
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
Is 1/2 in base 13 not 0.65?
No, because the 5 in your answer is thinking in decimal. 0.05 is not the half of 0.1 in base 13.
it’s almost like you’d have to use a different notation system to express a different base…
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.
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.