Perhaps unfortunately, the term "binary" has acquired several related but different meanings such that terms like "binary number" and phrases like "conver to binary" can be quite ambiguous.

Since "binary" is often used to refer to the internal or "raw" format of data, I will usually use "base-2" when talking about representing a numeric value in a string using only the characters '1' and '0'.

There is also the term "numeral" which is probably a more precise term to use instead of "number" when talking about repesentations in different bases. A numeral is a representation of a number. IMHO, "hexadecimal number" is just sloppy vernacular for "hexadecimal numeral", and such is just fine in most cases.

When making a distinction between a number's value and its representation, the term "numeral" might be handy except that I expect many don't know the term well and probably think it is just a synonym for "number".

So one could talk about getting "the base-2 numeral for a numeric value" and be very precise and unambiguous, and probably not be as well understood. I'm not trying to draw some meaningful conclusion from this observation; I just find it interesting.