Which base is associated with the decimal number system?

Which base is associated with the decimal number system?

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

Answer: (B)

Understanding base in a number system means recognizing how many digits are available and how place values grow. In decimal, there are ten digits—0 through 9—and each step to the left multiplies the value by ten. For example, 345 is 3×10^2 + 4×10^1 + 5×10^0, showing that each position represents a power of ten. This is what ties decimal to base ten. Other common systems use different bases: binary uses two digits (0 and 1), octal uses eight digits (0 through 7), and hexadecimal uses sixteen digits (0–9 and A–F). So the decimal system is associated with base ten.

Understanding base in a number system means recognizing how many digits are available and how place values grow. In decimal, there are ten digits—0 through 9—and each step to the left multiplies the value by ten. For example, 345 is 3×10^2 + 4×10^1 + 5×10^0, showing that each position represents a power of ten. This is what ties decimal to base ten. Other common systems use different bases: binary uses two digits (0 and 1), octal uses eight digits (0 through 7), and hexadecimal uses sixteen digits (0–9 and A–F). So the decimal system is associated with base ten.