How do you say $10$ when it's in binary?
As a professor who faces this issue every time I teach (cryptography and algorithms both tend to run into non-decimal bases), I have the following policy:
- If decimal, just say the number (with the word "decimal" if we're mixing contexts)
- If any other base, read the digits and say the name of the base
So I might say, "therefore the answer is one-zero-one binary, or 5 decimal."
I would never call 10 hex "ten". Nor would I call 10 binary "two."
The confusion here reminds me of this T-Shirt:
I'd say "two"... A professor at my university said that you should call it with its actual "value", so 10 in binary is "two" in value. "Ten" means 10 units (in decimal), or 1010 in binary. Anyway I think it's just his own opinion.
one plus one is two in any base, whether it is binary or decimal. ** is two asterisks, not "ten base two". "binary ten" or "ten base two" would be the binary representation of ten, which is $1010_{two}$, not $10_{two}$ which is two.
$10$ when it's in binary is two.