Base 4 to base 10

Convert Base 4 to Decimal

Convert base 4 values to base 10. Integers remain exact even when they exceed JavaScript's ordinary safe-number limit.

Number From base

Result

42

To base

222₄ = 42₁₀

Same value in common bases

Base	Value

Method

How to convert base 4 to base 10

Each base 4 digit is evaluated by its power of 4. The exact value is then repeatedly divided by 10 to produce the destination digits.

value₁₀ = sum(digit x 4^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 4 to Decimal table

Base 4 (base 4)	Decimal (base 10)
1	1
2	2
22	10
222	42
1210	100
3333	255
100000	1024

Continue converting

Decimal to Base 4Reverse conversion Binary to decimalBase 2 to base 10 Decimal to hexadecimalBase 10 to base 16