Enter a binary number and we'll convert it to octal.
The Binary to Octal Converter Tool is a specialized calculator designed to convert binary numbers (base 2) to octal numbers (base 8). It simplifies the conversion process, delivering quick, accurate results for a range of applications — especially in computing and digital electronics.
Also check out our similar tool: Octal to Binary converter.
Binary-to-octal conversion means turning a binary number — which uses only the digits 0 and 1 — into an octal number, which uses digits 0 through 7. To convert binary to octal, follow these steps:
For example, the binary number 110101 is grouped as 110 101, which converts to the octal number 65.
Binary and octal are two number systems widely used in computing and digital electronics.
Binary Numbers (Base 2): Binary uses a base-2 system with only two digits: 0 and 1. Each digit is called a bit. Binary is fundamental to modern computers because it maps directly to the two states of a digital circuit: on (1) and off (0). For example, the binary number 1101 represents the decimal number 13. Binary is efficient for computer processing but can get unwieldy when representing large values.
Octal Numbers (Base 8): Octal uses a base-8 system with digits 0 through 7. It is more readable than binary while remaining closely related to it — each octal digit corresponds to exactly three binary digits. For example, the binary number 110101 translates to the octal number 65. Octal is commonly used in digital systems to make binary-coded data easier to read and write.
| Binary | Octal |
|---|---|
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
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