Convert octal to binary
Octal (base 8) to binary (base 2). Type a value below, or use the reference table further down.
Multiply each digit by 8 raised to its position, counting from zero on the right, then add the results. 755 comes to 493 in decimal, which is 111101101 in binary.
How to convert octal to binary
Multiply each digit by 8 raised to its position, counting from zero on the right, then add the results. 755 comes to 493 in decimal, which is 111101101 in binary.
Conversions here use arbitrary-precision integers, so values beyond 64 bits convert exactly rather than being rounded.
octal to binary conversion table
Use this octal to binary chart for quick reference.
| Octal (base 8) | Binary (base 2) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 10 | 1000 |
| 11 | 1001 |
| 12 | 1010 |
| 13 | 1011 |
| 14 | 1100 |
| 15 | 1101 |
| 16 | 1110 |
| 17 | 1111 |
| 20 | 10000 |
| 40 | 100000 |
| 100 | 1000000 |
| 144 | 1100100 |
| 177 | 1111111 |
| 200 | 10000000 |
| 377 | 11111111 |
| 400 | 100000000 |
| 1000 | 1000000000 |
| 1750 | 1111101000 |
| 1777 | 1111111111 |
| 2000 | 10000000000 |
| 7777 | 111111111111 |
| 10000 | 1000000000000 |
| 177777 | 1111111111111111 |
| 200000 | 10000000000000000 |
What is octal?
Octal is base 8, using the digits 0 to 7. One octal digit encodes exactly three bits, which is why Unix file permissions are written as octal numbers such as 755.
What is binary?
Binary is base 2, using only 0 and 1. It is how every digital computer physically stores and manipulates data, with each digit representing one bit.
Frequently asked questions
How do you convert octal to binary?
Multiply each digit by 8 raised to its position, counting from zero on the right, then add the results. 755 comes to 493 in decimal, which is 111101101 in binary.
What is 755 octal in binary?
755 in octal is 111101101 in binary. In plain decimal that value is 493.
What digits does octal use?
Octal is base 8 and uses 0-7. Octal is base 8, using the digits 0 to 7. One octal digit encodes exactly three bits, which is why Unix file permissions are written as octal numbers such as 755.