No, I mean, in any counting system: binary, octal, decimal, hex. There will always be 10 digits, because "10" represents 1 in the base's place, and 0 in the units place.
Bi: 0, 1, 10, 11...
Oct: 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12...
Dec: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
Hex: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10...
The base's place is always that base number to the first power. The units is always the base number to the 0, which is 1. So, you have 2 different digits in binary. 2 is 2^1. Which is "10" in binary.
Bi: 0, 1, 10, 11...
Oct: 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12...
Dec: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10...
Hex: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10...
The base's place is always that base number to the first power. The units is always the base number to the 0, which is 1. So, you have 2 different digits in binary. 2 is 2^1. Which is "10" in binary.