Which numeral system has 16 as its base and uses A to F to represent values 10 to 15?

The numeral system that has 16 as its base and uses the symbols A to F to represent values 10 to 15 is hexadecimal. This system is particularly important in computer science and programming because it provides a more compact representation of binary numbers. In hexadecimal, the digits range from 0 to 9 for the values zero through nine, and then continue from A to F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15. This makes it easy to express large binary numbers in a way that is more readable and efficient for humans. The hexadecimal system is widely utilized in areas such as color representation in web design and memory addresses in computing hardware.

Other numeral systems, such as binary, decimal, and octal, do not fit this description; binary uses base 2, decimal uses base 10, and octal uses base 8. None of these systems utilize A to F for representation, reinforcing that hexadecimal is indeed the correct answer.