Octal to Ternary Converter

Convert Octal (Base 8) to Ternary (Base 3) with step-by-step solution.

Valid digits: 01234567
255 (Base 8) = 20102 (Base 3)
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 Ternary:

Divide by 3, collect remainders:

StepDividend÷ 3QuotientRemainderDigit
1173÷ 35722
257÷ 31900
319÷ 3611
46÷ 3200
52÷ 3022
Read bottom to top: 20102
3Result:
255 (Base 8) = 20102 (Base 3)

Conversion Table

DecimalOctalTernary
000
111
222
3310
4411
5512
6620
7721
81022
911100
1012101
1517120
1620121
2024202
32401012

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 Ternary

To convert from Octal (base 8) to Ternary (base 3), first convert to decimal, then convert from decimal to Ternary.

About Octal

Used in Unix file permissions. Uses digits: 01234567

About Ternary

Three-valued logic. Uses digits: 012