Convert Octal to Binary
1 Octal (oct) = 1 Binary (bin). Use the free converter below to instantly convert any octal value to binary, or view the full conversion table and formula.
1 oct = 1 bin
Octal to Binary Conversion Table
How to Convert Octal to Binary
To convert octal to binary, first convert the octal number to decimal by expanding each digit, then convert the decimal result to binary. This is a standard base-8 to base-2 conversion.
Worked Example: Convert 10 oct to bin
Start with the value in octal
10 oct
Apply the formula
Convert 10 → decimal → binary (base 8 → 2)
Calculate the result
10 oct = 1000 bin
Octal to Binary Examples
0 oct is equal to 0 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 0 oct converts to 0 bin.
1 oct is equal to 1 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 1 oct converts to 1 bin.
7 oct is equal to 111 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 7 oct converts to 111 bin.
10 oct is equal to 1000 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 10 oct converts to 1000 bin.
17 oct is equal to 1111 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 17 oct converts to 1111 bin.
20 oct is equal to 10000 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 20 oct converts to 10000 bin.
77 oct is equal to 111111 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 77 oct converts to 111111 bin.
100 oct is equal to 1000000 bin. Using the formula Convert octal → decimal → binary (base 8 → 2), 100 oct converts to 1000000 bin.
Converting Binary to Octal
Need the reverse conversion? Use the table below for a quick reference converting binary back to octal.
| Binary (bin) | Octal (oct) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
Octal to Binary FAQ
What is octal?
Octal is a base-8 number system. It uses 8 distinct digits to represent values.
How do I convert octal to binary?
Convert the octal number to base 2. First convert octal to decimal, then convert decimal to binary.
Why is octal used in computing?
Octal (base-8) is used in computing because it provides a compact way to represent groups of 3 binary bits.
Understanding Octal and Binary
What is an Octal (oct)?
The octal (oct) is a specialized unit of number systems. It is commonly abbreviated as oct and relates to binary by a factor of 1.
What is a Binary (bin)?
The binary (bin) is a specialized unit of number systems. It is commonly abbreviated as bin and relates to octal by a factor of 1.