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

Octal to Binary Converter

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

oct (Base 8)
bin (Base 2)
Formula bin (Base 2) = Base2(oct (Base 8))
Convert Base 8 to Base 2.

How to Convert Octal to Binary

Mathematical formulation and step-by-step conversion steps.

Conversion Formula
bin (Base 2) = Base2(oct (Base 8))

Convert Base 8 to Base 2.

Example Calculation (10 oct (Base 8))

To convert 10 octal into binary:

1. Input: 10 oct (Base 8)
2. Apply formula: bin (Base 2) = Base2(oct (Base 8))
3. Result = 1000 bin (Base 2)

Quick-Reference Conversion Table

Calculated values for common octal to binary comparisons.

Exact Precision

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

Octal (oct (Base 8)) Binary (bin (Base 2))
1 oct (Base 8) 1 bin (Base 2)
2 oct (Base 8) 10 bin (Base 2)
5 oct (Base 8) 101 bin (Base 2)
10 oct (Base 8) 1000 bin (Base 2)
20 oct (Base 8) 10000 bin (Base 2)
50 oct (Base 8) 101000 bin (Base 2)
100 oct (Base 8) 1000000 bin (Base 2)
250 oct (Base 8) 10101000 bin (Base 2)
500 oct (Base 8) 101000000 bin (Base 2)
1000 oct (Base 8) 1000000000 bin (Base 2)

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

Binary (bin (Base 2)) Octal (oct (Base 8))
1 bin (Base 2) 1 oct (Base 8)
2 bin (Base 2) oct (Base 8)
5 bin (Base 2) oct (Base 8)
10 bin (Base 2) 2 oct (Base 8)
20 bin (Base 2) oct (Base 8)
50 bin (Base 2) oct (Base 8)
100 bin (Base 2) 4 oct (Base 8)
250 bin (Base 2) oct (Base 8)
500 bin (Base 2) oct (Base 8)
1000 bin (Base 2) 10 oct (Base 8)

Octal to Binary FAQ

Common answers and formulas for converting octal to binary.

How many binary are in 1 octal?

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

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

The formula is: bin (Base 2) = Base2(oct (Base 8)). Convert Base 8 to Base 2.

How do I convert 10 octal to binary?

To convert 10 octal to binary, apply the conversion formula: 10 oct (Base 8) = 1000 bin (Base 2).

Can I reverse this calculation to convert binary to octal?

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