Which numbering system uses digits 0 and 1?

Which numbering system uses digits 0 and 1?

• A. Binary Numbering System
• B. Decimal Numbering System
• C. Octal Numbering System
• D. Hexadecimal Numbering System

Answer: (A)

The numeral system that uses only two digits, 0 and 1, is the binary system. It is base-2, so each position represents a power of two. For example, 1011 equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 11 in decimal. This two-symbol representation mirrors the two states of digital signals (off and on), which is why binary is fundamental to how computers store and process information. Other systems use more symbols: decimal uses 0–9, octal uses 0–7, and hexadecimal uses 0–9 plus A–F. Hence, only the binary system uses exactly the digits 0 and 1.

The numeral system that uses only two digits, 0 and 1, is the binary system. It is base-2, so each position represents a power of two. For example, 1011 equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 11 in decimal. This two-symbol representation mirrors the two states of digital signals (off and on), which is why binary is fundamental to how computers store and process information. Other systems use more symbols: decimal uses 0–9, octal uses 0–7, and hexadecimal uses 0–9 plus A–F. Hence, only the binary system uses exactly the digits 0 and 1.