Convert Binary to Octal
1 Binary (bin) = 1 Octal (oct). Use the free converter below to instantly convert any binary value to octal, or view the full conversion table and formula.
1 bin = 1 oct
Binary to Octal Conversion Table
How to Convert Binary to Octal
To convert binary to octal, first convert the binary number to decimal by expanding each digit, then convert the decimal result to octal. This is a standard base-2 to base-8 conversion.
Worked Example: Convert 11 bin to oct
Start with the value in binary
11 bin
Apply the formula
Convert 11 → decimal → octal (base 2 → 8)
Calculate the result
11 bin = 3 oct
Binary to Octal Examples
0 bin is equal to 0 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 0 bin converts to 0 oct.
1 bin is equal to 1 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 1 bin converts to 1 oct.
10 bin is equal to 2 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 10 bin converts to 2 oct.
11 bin is equal to 3 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 11 bin converts to 3 oct.
100 bin is equal to 4 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 100 bin converts to 4 oct.
101 bin is equal to 5 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 101 bin converts to 5 oct.
110 bin is equal to 6 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 110 bin converts to 6 oct.
111 bin is equal to 7 oct. Using the formula Convert binary → decimal → octal (base 2 → 8), 111 bin converts to 7 oct.
Converting Octal to Binary
Need the reverse conversion? Use the table below for a quick reference converting octal back to binary.
| Octal (oct) | Binary (bin) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 7 | 111 |
| 10 | 1000 |
| 17 | 1111 |
| 20 | 10000 |
Binary to Octal FAQ
What is binary?
Binary is a base-2 number system. It uses 2 distinct digits to represent values.
How do I convert binary to octal?
Convert the binary number to base 8. First convert binary to decimal, then convert decimal to octal.
Why is binary used in computing?
Binary (base-2) is used in computing because computers operate on binary digits (bits) — on/off electrical signals.
Understanding Binary and Octal
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.
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.