Base 10 to base 4

Convert Decimal to Base 4

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

Number From base

Result

222

To base

42₁₀ = 222₄

Same value in common bases

Base	Value

Method

How to convert base 10 to base 4

Each decimal digit is evaluated by its power of 10. The exact value is then repeatedly divided by 4 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 4 table

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

Continue converting

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