Convert binary numbers to octal by grouping bits into sets of three, with a step-by-step breakdown and the final octal result.
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Number Systems
The binary to octal converter translates binary (base-2) numbers into octal (base-8) notation. Enter a binary string and see the octal result with three-bit grouping shown step by step.
Because 8 is 2 to the 3rd power, each octal digit corresponds to exactly three binary digits. Group the binary number into sets of three from the right, pad with leading zeros if necessary, and convert each group to its octal digit (0 through 7).
For example, binary 110101 splits into 110 and 101, giving octal 65.
Octal notation appears in Unix/Linux file permissions (such as 755 or 644), older computing systems, and some programming languages. Understanding binary-to-octal conversion helps interpret and set these values correctly.
Frequently asked questions
Three binary digits have 8 possible values (000 to 111), matching the 8 octal digits (0 to 7).
Yes, primarily in Unix-style file permissions and some legacy systems. It is less common than hex in modern programming.
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