Note that a number is just a number: one, two, three, ...

You can choose to represent that number in whatever radix (base) you want, but it's still the same number:

Number    Binary Denary Hex
one       00001       1   1
two       00010       2   2
three     00011       3   3
four      00100       4   4
five      00101       5   5
 :
ten       01010      10   A
eleven    01011      11   B
 :
fifteen   01111      15   F
sixteen   10000      16  10
seventeen 10001      17  11

There is nothing different about counting in binary, denary, or hex - or any other radix you care to mention!