Base 10 to base 3

Convert Decimal to Base 3

Convert base 10 values to base 3. Integers remain exact even when they exceed JavaScript's ordinary safe-number limit.

Number From base

Result

1120

To base

42₁₀ = 1120₃

Same value in common bases

Base	Value

Method

How to convert base 10 to base 3

Each decimal digit is evaluated by its power of 10. The exact value is then repeatedly divided by 3 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 3 table

Decimal (base 10)	Base 3 (base 3)
1	1
2	2
10	101
42	1120
100	10201
255	100110
1024	1101221

Continue converting

Base 3 to DecimalReverse conversion Binary to decimalBase 2 to base 10 Decimal to hexadecimalBase 10 to base 16