The above binary to octal conversion calculator allows you to convert binary numbers to octal numbers. Binary numbers are used in computer systems to process numbers. While not as popular as hexadecimal, sometimes octal is used in computer systems due to its advantages in human readability, storage compactness and ability to correspond with typical memory addressing schemes that are multiples of four (for example 32-bit and 64-bit computer systems).
Having a binary octal converter handy, like the free tool above is useful for those learning different number systems and how to convert between them. Understanding binary numbers and historically used systems like octal is key in many computer and technology courses.
To convert binary to octal is easy because of the rule of binary threes. The rule of binary threes means you can group three digits of binary together and then turn these into an octal number. The process of converting binary to octal starts the binary digits into sets of three starting from the right. If you run out of groups of three you can pad the remaining digits with zeros. At the next stage, you need to convert the groups of threes to octal digits. Use the quick reference table below to help convert these groups of three to octal.
Octal Threes Table
| Binary | Octal | Binary | Octal |
|---|---|---|---|
| 000 | 0 | 100 | 4 |
| 001 | 1 | 101 | 5 |
| 010 | 2 | 110 | 6 |
| 011 | 3 | 111 | 7 |
Once you have converted all the digits, write down the octal digits to get your final answer. To check that you have correctly learnt how to convert binary to octal use our free binary to octal conversion calculator above.
To use the binary to octal converter you will first need to enter your number into the text box. This number must be in binary which means that it must contain characters incorporating 1 and 0 only. Once you have typed in this number click "convert" to convert the number to octal. The result of the binary to binary conversion can be located below the convert button. You can use the copy button to copy the converted octal number to your clipboard. To reset the binary to octal converter click the reset option found at the upper-left side of the free conversion tool.
Yes, like all tools on binarytables.com this binary to octal conversion tool is free to use.
Binary Tables is a free online resource to help you learn about the binary number system and how to convert between binary and other number systems. We provide a range of free calculators and tools (like this binary-to-octal converter) to help you perform basic mathematics operations and change between various number systems.