Which base does the Decimal Numbering System use?

Which base does the Decimal Numbering System use?

• A. Base 10
• B. Base 2
• C. Base 16
• D. Base 8

Answer: (A)

Decimal numbers use a base ten place-value system: there are ten distinct digits (0 through 9), and each position represents a power of ten. Numbers are built by multiplying each digit by ten raised to the power of its position and summing the results. For example, 345 means 3×10^2 + 4×10^1 + 5×10^0. This is why the decimal system is defined by base ten. Other bases use different symbol counts: binary uses two digits (0 and 1), hexadecimal uses sixteen digits (0–9 and A–F), and octal uses eight digits (0–7).

Decimal numbers use a base ten place-value system: there are ten distinct digits (0 through 9), and each position represents a power of ten. Numbers are built by multiplying each digit by ten raised to the power of its position and summing the results. For example, 345 means 3×10^2 + 4×10^1 + 5×10^0. This is why the decimal system is defined by base ten. Other bases use different symbol counts: binary uses two digits (0 and 1), hexadecimal uses sixteen digits (0–9 and A–F), and octal uses eight digits (0–7).