Which numeral system is characterized by base 10 and digits 0 through 9?

Which numeral system is characterized by base 10 and digits 0 through 9?

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

Answer: (A)

Numeral systems are defined by their base and the symbols they use. The decimal system is base 10 and uses ten digits: 0 through 9. Each place value represents a power of ten, so 345 means 3×10^2 + 4×10^1 + 5×10^0. That combination of base and digits is what defines it as the decimal system—the one we use every day. Binary is base 2 with digits 0 and 1. Hexadecimal is base 16 with digits 0–9 and letters A–F. Octal is base 8 with digits 0–7.

Numeral systems are defined by their base and the symbols they use. The decimal system is base 10 and uses ten digits: 0 through 9. Each place value represents a power of ten, so 345 means 3×10^2 + 4×10^1 + 5×10^0. That combination of base and digits is what defines it as the decimal system—the one we use every day.

Binary is base 2 with digits 0 and 1. Hexadecimal is base 16 with digits 0–9 and letters A–F. Octal is base 8 with digits 0–7.