Base 3 to base 10

Convert Base 3 to Decimal

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

Number From base

Result

42

To base

1120₃ = 42₁₀

Same value in common bases

Base	Value

Method

How to convert base 3 to base 10

Each base 3 digit is evaluated by its power of 3. The exact value is then repeatedly divided by 10 to produce the destination digits.

value₁₀ = sum(digit x 3^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

Base 3 to Decimal table

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

Continue converting

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