Which numbering system uses digits from 0 to 7?

The numbering system that uses digits from 0 to 7 is the octal system. Octal is a base-8 numeral system, which means it consists of eight symbols (0 through 7) to represent values. This system is often utilized in computing as a shorthand notation for binary numbers, where each octal digit corresponds to three binary digits (bits).

In contrast, the binary system uses only two digits (0 and 1), while the decimal system is base-10 and employs ten digits (0 through 9). The hexadecimal system is base-16, utilizing digits from 0 to 9 and letters A to F to represent values from ten to fifteen. Each of these systems serves different purposes in mathematics and computer science, but the defining characteristic of octal is its exclusive use of the digits from 0 to 7.