Hi.

Hope it's the right place to post it (if not - please move it to the right forum).

I have a question regarding the transfer between numeral systems.

the way to convert, for example, the binary number

to decimal will be:

and, if I want to go back to a binary number:

,

,

,

,

,

,

,

,

,

concatenating all the remainders togather, we'll get:

now, I do understand the logic behind this operations, but one thing is bothering me:

let's say I want to convert the same binary number to a 5-based (or even a 6 or a 7-based) number.

the only way to do it is to first convert

to

with the same method above, and only then to convert

to

(using the second method, with the remainders).

Why isn't there a way to directly convert

to

?

What is stoping me from doing that?

Hope the the question is clear enough.

thanks in advanced.