Which number system is represented by the base of eight?

The number system represented by the base of eight is the Octal Number System. This system uses eight distinct symbols to represent values: 0, 1, 2, 3, 4, 5, 6, and 7. Each digit in an octal number represents a power of eight, making it distinct from other number systems.

In contrast, the Hexadecimal Number System is based on sixteen and uses the symbols 0-9 and A-F, where A stands for 10 and F stands for 15. The Decimal Number System, which is the most commonly used number system, is based on ten, utilizing the symbols 0-9. The Binary Number System operates on base two, employing only the digits 0 and 1.

Understanding the unique characteristics of the Octal Number System, such as its use of eight symbols and powers of eight, clarifies why it is identified as the correct answer to the question.