Quaternary to Decimal Converter

Type a quaternary number to see it in decimal. Below: how the conversion works, a worked example and a conversion table.

3333 quaternary = 255 decimal

How to convert quaternary to decimal

Multiply each digit by 4 raised to the power of its position (counting from 0 on the right) and add the results.

Example: 3333 to decimal

Quaternary to decimal

Multiply each digit by 4 to the power of its position (0 on the right), then add:

DigitPlace valueDigit × place
343 = 64192
342 = 1648
341 = 412
340 = 13

192 + 48 + 12 + 3 = 255

Quaternary to Decimal table

QuaternaryDecimal
0 0
1 1
2 2
3 3
10 4
11 5
12 6
13 7
20 8
21 9
22 10
23 11
30 12
31 13
32 14
33 15
100 16
101 17
102 18
103 19
110 20
111 21
112 22
113 23
120 24
121 25
122 26
123 27
130 28
131 29
132 30
133 31

Quaternary to other systems

Other systems to decimal

Reverse conversion

Frequently asked questions

How do you convert quaternary to decimal?

Multiply each digit by 4 raised to the power of its position (counting from 0 on the right) and add the results.

What is 3333 in decimal?

3333 in quaternary is 255 in decimal.