Which numbering system uses the digits 0-9 and operates in base 10?

Which numbering system uses the digits 0-9 and operates in base 10?

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

Answer: (C)

Understanding numeral bases helps explain this. A numbering system that uses digits 0-9 and operates in base 10 has ten distinct symbols and place values that are powers of ten. That's exactly what the decimal system does, so it’s the one described. The other bases use different symbol sets: binary uses only 0 and 1 (base 2), octal uses 0 through 7 (base 8), and hexadecimal uses 0–9 plus A–F for ten through fifteen (base 16).

Understanding numeral bases helps explain this. A numbering system that uses digits 0-9 and operates in base 10 has ten distinct symbols and place values that are powers of ten. That's exactly what the decimal system does, so it’s the one described. The other bases use different symbol sets: binary uses only 0 and 1 (base 2), octal uses 0 through 7 (base 8), and hexadecimal uses 0–9 plus A–F for ten through fifteen (base 16).