Convert a binary number to an octal number with precision.
Binary to Octal Converter converts a binary number into an octal number.
To convert binary to octal, click Convert to Octal, and to other number systems, click Convert to All.
For example, the binary number 1001111 converts to 117 in octal and so on.
Binary to Octal Converter converts a binary value into its octal equivalent in one click. This is useful when you work with low-level computing, file permissions, embedded systems, and digital logic where grouping bits into octal values is more compact than reading long binary strings.
Binary uses base 2, while octal uses base 8. Since 23 = 8, every group of three binary digits maps to one octal digit. This makes the conversion fast and predictable.
To convert a binary number to octal, split the digits into groups of three from right to left. If the leftmost group has fewer than three digits, add leading zeros.
Then map each group to its octal value:
000 = 0, 001 = 1, 010 = 2, 011 = 3, 100 = 4, 101 = 5, 110 = 6, 111 = 7
Example: 10110011 becomes 010 110 011 and then 2 6 3, which gives 263.
For decimal-point values, convert the integer part and fractional part separately. The integer part is grouped from the right, while the fractional part is grouped from the left.
Example 1: Binary: 1001111
Grouped in threes: 001 001 111
Octal: 1 1 7 = 117
Example 2: Binary: 101010
Grouped in threes: 101 010
Octal: 5 2 = 52
Example 3: Binary: 1101.011
Integer part: 1101 = 001 101 = 1 5 = 15
Fractional part: .011 = .3
Octal: 15.3
Use this converter when you need a shorter, easier-to-read version of a binary value, especially in technical work where octal is still commonly used. It is useful for checking Unix-style file permissions, reading bit masks, reviewing low-level system values, and debugging code that uses base-8 notation.
It is also helpful when you are comparing binary data with octal output in networking, embedded systems, or digital electronics, where grouping bits into threes provides a simple and compact representation. If you are learning number systems or validating manual conversions, this tool gives quick feedback without the risk of arithmetic mistakes.
Our Binary to Octal Converter converts a binary value into its octal equivalent in one click and can also show the decimal and hexadecimal values when you use the full conversion mode.
Convert to Octal: computes the octal output for the entered binary number.
Convert to All: displays the equivalent octal, decimal, and hexadecimal values together.
Load an Example: inserts a sample binary value so you can test the tool immediately.
Copy, Clear, and Download: let you reuse or save the result without retyping the value.
Binary to octal conversion is based on groups of three bits, because 23 = 8. Starting from the right, split the binary number into groups of three digits. If the first group on the left has fewer than three bits, add leading zeros.
000 = 0, 001 = 1, 010 = 2, 011 = 3, 100 = 4, 101 = 5, 110 = 6, 111 = 7
Example: 10110011 becomes 010 110 011, which maps to 2 6 3, giving (263)8.
Fraction example: (512.47)8 is equal to (330.609375)10, because the fractional part .47 in base 8 is 4/8 + 7/64 = 0.5 + 0.109375 = 0.609375.
FAQ 1: Is this tool free to use?
Answer: Yes. You can use the Binary to Octal Converter without signup or payment.
FAQ 2: Can I convert a binary number with a decimal point?
Answer: Yes. The tool handles binary values with integer and fractional parts and converts them to the corresponding octal format.
FAQ 3: Why group binary digits into threes?
Answer: Because one octal digit represents three binary digits. Since 23 = 8, grouping in threes is the standard conversion method.
FAQ 4: Does the tool also show other number systems?
Answer: Yes. The Convert to All option shows decimal and hexadecimal equivalents alongside the octal result.
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