Which base-16 numbering system uses sixteen symbols 0-9 and A-F to represent numbers from 0 to 15?

Which base-16 numbering system uses sixteen symbols 0-9 and A-F to represent numbers from 0 to 15?

• A. Binary
• B. Pattern recognition
• C. Natural language
• D. Hexadecimal

Answer: (D)

Hexadecimal is the base-16 numbering system that uses sixteen distinct symbols: 0 through 9 for values zero to nine, and A through F for values ten to fifteen. In this system, a single digit can represent any value from 0 to 15, which is exactly what the question describes. This is why it’s used to denote 0–15 directly and to compactly represent larger numbers in computing. The other options don’t fit because binary relies on only two symbols (0 and 1), while natural language and pattern recognition aren’t numeral systems with a fixed symbol set for numeric values.

Hexadecimal is the base-16 numbering system that uses sixteen distinct symbols: 0 through 9 for values zero to nine, and A through F for values ten to fifteen. In this system, a single digit can represent any value from 0 to 15, which is exactly what the question describes. This is why it’s used to denote 0–15 directly and to compactly represent larger numbers in computing. The other options don’t fit because binary relies on only two symbols (0 and 1), while natural language and pattern recognition aren’t numeral systems with a fixed symbol set for numeric values.