Base10 corresponds to which number system?

Base10 corresponds to which number system?

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

Answer: (C)

This question tests understanding of numeral bases and what base-10 means. The base of a number system determines how many digits are used and how each position is valued. In base-10, there are ten digits (0 through 9), and each position represents a power of ten. For example, 3456 means 3×10^3 + 4×10^2 + 5×10^1 + 6×10^0. That’s exactly what the decimal system uses. Other systems use different bases: binary uses two digits (0 and 1) with powers of two, octal uses eight digits (0–7) with powers of eight, and hexadecimal uses sixteen digits (0–9 plus A–F) with powers of sixteen. Therefore, base-10 corresponds to the decimal number system.

This question tests understanding of numeral bases and what base-10 means. The base of a number system determines how many digits are used and how each position is valued. In base-10, there are ten digits (0 through 9), and each position represents a power of ten. For example, 3456 means 3×10^3 + 4×10^2 + 5×10^1 + 6×10^0. That’s exactly what the decimal system uses.

Other systems use different bases: binary uses two digits (0 and 1) with powers of two, octal uses eight digits (0–7) with powers of eight, and hexadecimal uses sixteen digits (0–9 plus A–F) with powers of sixteen. Therefore, base-10 corresponds to the decimal number system.