To determine which number system uses the most unique characters, let's examine each one:
- Binary: This system uses 2 unique characters: 0 and 1.
- Decimal: This system uses 10 unique characters: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
- Hexadecimal: This system uses 16 unique characters: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15).
Based on this information, the hexadecimal system uses the most unique characters, with a total of 16 unique characters.
So, the answer is hexadecimal.