Octal to Quaternary Converter

Convert Octal (Base 8) to Quaternary (Base 4) with step-by-step solution.

Valid digits: 01234567
255 (Base 8) = 2231 (Base 4)
Step-by-Step Solution
1Convert Octal to Decimal:

Each digit × 8^position:

DigitValuePositionCalculationResult
2222 × 8^2128
5515 × 8^140
5505 × 8^05
Sum: 128 + 40 + 5 = 173
2Convert Decimal to Quaternary:

Divide by 4, collect remainders:

StepDividend÷ 4QuotientRemainderDigit
1173÷ 44311
243÷ 41033
310÷ 4222
42÷ 4022
Read bottom to top: 2231
3Result:
255 (Base 8) = 2231 (Base 4)

Conversion Table

DecimalOctalQuaternary
000
111
222
333
4410
5511
6612
7713
81020
91121
101222
151733
1620100
2024110
3240200

255 (Base 8) in All Bases

Number SystemBaseValue
Binary210101101
Decimal10173
Hexadecimal16AD
Ternary320102
Quaternary42231
Quinary51143
Senary6445
Septenary7335
Duodecimal12125
Vigesimal208D
Duotrigesimal325D
Hexatrigesimal364T

Popular Conversions

How to Convert Octal to Quaternary

To convert from Octal (base 8) to Quaternary (base 4), first convert to decimal, then convert from decimal to Quaternary.

About Octal

Used in Unix file permissions. Uses digits: 01234567

About Quaternary

Used in DNA encoding. Uses digits: 0123