Number System Basics: Digits 0 and 1

A number system is a way of representing numbers using symbols or digits. Different number systems use different sets of symbols and have different bases, which determine how many unique digits are used.

Exploring Different Number Systems

Let's look at the common number systems mentioned in the options:

• Decimal System: This is the number system we use every day. It is also known as the base-10 system because it uses ten different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
• Octal System: This system is known as the base-8 system. It uses eight digits, ranging from 0 to 7 (0, 1, 2, 3, 4, 5, 6, 7).
• Hexadecimal System: This system is known as the base-16 system. It uses sixteen symbols: the digits 0 through 9, and the letters A through F to represent values 10 through 15.
• Binary System: This system is known as the base-2 system. It is fundamental in computing because it uses only two digits: 0 and 1.

Identifying the Correct Number System

The question asks specifically for the number system that uses only the digits 0 and 1. Based on the definitions above:

• The Binary system uses exactly the digits 0 and 1.
• The Decimal system uses digits 0 through 9.
• The Octal system uses digits 0 through 7.
• The Hexadecimal system uses digits 0-9 and letters A-F.

Therefore, the number system that exclusively uses the digits 0 and 1 is the Binary system.