1367.6 base PI. What is it in base 10?

Bases don't have to be rational.

Originally posted by sonhouse
Bases don't have to be rational.

Surely you can only use the digits 0, 1, 2 and 3 in base pi?

If it has a meaning
pi^4 + 3pi^3 + 6pi^2 + 7pi + 6/pi

I suppose?!?!?

Originally posted by wolfgang59
If it has a meaning
pi^4 + 3pi^3 + 6pi^2 + 7pi + 6/pi

I suppose?!?!?

No, it would be pi^3 + 3.pi^2 + 6.pi + 7 + 6/pi

Originally posted by Fat Lady
Surely you can only use the digits 0, 1, 2 and 3 in base pi?

I was lying down going to sleep and I realized I shouldn't use so many digits, was thinking about binary, 0 and 1, octal, 0-8 and so forth so it must be only 0,1,2,3 for PI. So what would 1223.22 be in PI?

1223.22 in base pi

is

pi^3 + 2pi^2 + 2pi + 3 + 2/pi + 2/(pi^2) in base 10

I think it's better leaving it in base pi.

Originally posted by Fat Lady
No, it would be pi^3 + 3.pi^2 + 6.pi + 7 + 6/pi

😳
the shame ................

A arbitrarily chosen base, integer, rational, end even real bae, never done that, very interesting.

The formula goes: sum{a(i)*b^i}
where i is an integer from low to high,
and b is a real base > 1, I suppose?

It doesn't make sense if b < 0, and definitely not when b=1, correct?

Can we use the formula to construct any real number?