Base 10 to base 13

Convert Decimal to Base 13

Convert base 10 values to base 13. Integers remain exact even when they exceed JavaScript's ordinary safe-number limit.

Number From base

Result

33

To base

42₁₀ = 33₁₃

Same value in common bases

Base	Value

Method

How to convert base 10 to base 13

Each decimal digit is evaluated by its power of 10. The exact value is then repeatedly divided by 13 to produce the destination digits.

value₁₀ = sum(digit x 10^position)

For fractional digits, the converter keeps an exact rational numerator and denominator, then generates up to 32 destination digits. An ellipsis marks a repeating or longer expansion.

Examples

Decimal to Base 13 table

Decimal (base 10)	Base 13 (base 13)
1	1
2	2
10	A
42	33
100	79
255	168
1024	60A

Continue converting

Base 13 to DecimalReverse conversion Binary to decimalBase 2 to base 10 Decimal to hexadecimalBase 10 to base 16