Base Converter

All math tools

Convert numbers between different bases (Binary, Octal, Decimal, Hexadecimal, and more).

Conversion Settings

Number

From Base

To Base

Conversion Results

Converted Value

The representation of the number in the target base.

Decimal Value255

From Base10

About this calculator

What are Number Bases?

A base (or radix) is the number of unique digits, including zero, used to represent numbers in a positional numeral system. For example, the decimal system (base 10) uses ten digits (0-9). Computers use binary (base 2) because it consists of only two states: off (0) and on (1).

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Pro Tips

In bases higher than 10, letters A-Z are used to represent values 10-35.
Hexadecimal (base 16) is widely used in computing for color codes and memory addresses.
To convert from decimal to any base, repeatedly divide by the base and track the remainders.

Fun Facts

"The ancient Babylonians used a base-60 system (sexagesimal), which is why we have 60 seconds in a minute and 360 degrees in a circle."
"The word 'digit' comes from the Latin 'digitus', meaning finger, because people historically used their fingers for base-10 counting."
"Base 12 (duodecimal) is considered by some to be superior to base 10 because 12 has more divisors (2, 3, 4, 6) than 10 (2, 5)."

Formula: Value = Σ (digit × base^position)