Digital & Computing bin (Base 2) → oct (Base 8)

Binary to Octal Converter

Instantly convert binary to octal with live bidirectional calculation, mathematical formula breakdown, and quick-reference snippet charts.

bin (Base 2)
oct (Base 8)
Formula oct (Base 8) = Base8(bin (Base 2))
Convert Base 2 to Base 8.

How to Convert Binary to Octal

Mathematical formulation and step-by-step conversion steps.

Conversion Formula
oct (Base 8) = Base8(bin (Base 2))

Convert Base 2 to Base 8.

Example Calculation (10 bin (Base 2))

To convert 10 binary into octal:

1. Input: 10 bin (Base 2)
2. Apply formula: oct (Base 8) = Base8(bin (Base 2))
3. Result = 2 oct (Base 8)

Quick-Reference Conversion Table

Calculated values for common binary to octal comparisons.

Exact Precision

Binary to Octal (bin (Base 2) → oct (Base 8))

Binary (bin (Base 2)) Octal (oct (Base 8))
0 bin (Base 2) 0 oct (Base 8)
1 bin (Base 2) 1 oct (Base 8)
10 bin (Base 2) 2 oct (Base 8)
100 bin (Base 2) 4 oct (Base 8)
1000 bin (Base 2) 10 oct (Base 8)
1010 bin (Base 2) 12 oct (Base 8)
1111 bin (Base 2) 17 oct (Base 8)
10000 bin (Base 2) 20 oct (Base 8)
100000 bin (Base 2) 40 oct (Base 8)
11111111 bin (Base 2) 377 oct (Base 8)

Octal to Binary (oct (Base 8) → bin (Base 2))

Octal (oct (Base 8)) Binary (bin (Base 2))
0 oct (Base 8) 0 bin (Base 2)
1 oct (Base 8) 1 bin (Base 2)
2 oct (Base 8) 10 bin (Base 2)
4 oct (Base 8) 100 bin (Base 2)
8 oct (Base 8) bin (Base 2)
10 oct (Base 8) 1000 bin (Base 2)
15 oct (Base 8) 1101 bin (Base 2)
16 oct (Base 8) 1110 bin (Base 2)
32 oct (Base 8) 11010 bin (Base 2)
255 oct (Base 8) 10101101 bin (Base 2)

Binary to Octal FAQ

Common answers and formulas for converting binary to octal.

How many octal are in 1 binary?

1 binary (bin (Base 2)) is equal to 1 octal (oct (Base 8)).

What is the conversion formula for bin (Base 2) to oct (Base 8)?

The formula is: oct (Base 8) = Base8(bin (Base 2)). Convert Base 2 to Base 8.

How do I convert 10 binary to octal?

To convert 10 binary to octal, apply the conversion formula: 10 bin (Base 2) = 2 oct (Base 8).

Can I reverse this calculation to convert octal to binary?

Yes, use the quick-swap button (⇄) on the converter above or visit the reverse Octal to Binary converter.