I'm taking a course in Automata and I have homework (I'll solve it myself, I just need to know the exact meaning of the statement) asking me to answer what the length of $x$ and $y$ is, where both $x$ and $y$ are binary numbers.
I don't quite understand what "length" refers to in this case. Does '000' mean that the length is $3$ ? If that's the case, then what does "length of xy" mean more specifically? Is that like saying "length of $x$ multiplied by the length of $y$" , so if length of $x$ is $2$, and length of $y$ is $3$, then the length of xy is $6$? Or would you have to multiply the individual numbers, like (000)(111) to get the length in that case (if that makes any sense...)?
If the question seems weird, it is because I don't really understand what is being asked. and I haven't found a sufficient answer in the course litterature.
Any help would be greatly appreciated.