Welcome to the Easy Converters Binary to Octal Converter – your fast and accurate tool for transforming binary values (base-2) into octal (base-8) notation. Whether you're a computer science student, electronics engineer, or software developer, this converter helps you work efficiently with binary and octal systems used in low-level computing and digital logic design.
Binary is the base-2 number system that uses only 0s and 1s, while Octal is a base-8 system using digits from 0 to 7. Since 1 octal digit equals 3 binary digits (bits), binary to octal conversion is fast and straightforward—just group bits in sets of 3.
To convert binary to octal:
Example:
Binary: 101101 Grouped: 000 101 101 Octal: 2 5 Result: 55
| Binary | Octal |
|---|---|
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
chmod 755).Binary: 110101 → Grouped: 110 101 → Octal: 65Binary: 11111111 → Grouped: 111 111 11 → Padded: 011 111 111 → Octal: 377Binary: 10001011 → Grouped: 010 001 011 → Octal: 213Binary and octal systems are often taught in high school and college computer science and electronics courses. This converter supports:
| Binary | Octal | Decimal |
|---|---|---|
| 000 | 0 | 0 |
| 101 | 5 | 5 |
| 111 | 7 | 7 |
| 1000 | 10 | 8 |
| 110101 | 65 | 53 |
Octal numbers are often used in Unix/Linux environments to set permissions:
Example command: chmod 755 filename → Gives full access to the owner and read/execute to others.
oct(int("101101", 2)) → '0o55'parseInt("101101", 2).toString(8) → '55'Integer.toOctalString(Integer.parseInt("101101", 2))Because each octal digit maps exactly to 3 binary digits, making conversion fast and accurate.
Yes, but this tool focuses on integer values. For fractions, group bits after the binary point in sets of 3 as well.
Simply pad the left side with zeros until it becomes a multiple of 3. For example: 101 → 000101
No, they can be omitted for compact display unless you're aligning output or working with fixed-length registers.
This converter supports very large binary numbers (64+ bits), depending on browser memory and input handling.
Binary to octal conversion isn't just a classroom exercise—it plays a role in numerous technical fields. Here's where it's used in the real world:
Understanding binary to octal conversion becomes easier with multi-digit examples:
Binary: 100111001 Grouped: 000 100 111 001 Octal: 4 7 1 Result: 471
Binary: 110110100110 Grouped: 001 101 101 001 100 Pad Left: 000 110 110 100 110 Octal: 3 6 4 6 Result: 3646
Try solving these on your own, then use the converter to check your answers:
101001 to Octal1111101 to Octal100100111 to OctalBinary and octal are both common in cybersecurity environments where low-level data inspection is needed:
To understand how binary relates to other systems, here are common conversions:
This allows seamless conversion between any format needed for software, math, or network operations.
Developers can integrate binary-to-octal conversion into scripts or applications:
oct(int("1101010", 2)) → '0o152'echo "$((2#110101))" and convert result to octal with printfparseInt("1101", 2).toString(8)This tool eliminates manual scripting and provides immediate answers for any binary string.
11111111 in binary = 255 in decimal0755)Did you know that binary fractions can also be converted into octal? The same 3-bit grouping logic applies to the right of the binary point:
Binary: 101.101 Grouped: 101 . 101 Octal: 5 . 5 Result: 5.5 (octal)
If the fractional part isn't a multiple of 3, pad it with zeros on the right:
Binary: 0.1011 Padded: 0.101 100 Octal: .5 4 Result: 0.54
This is particularly useful in analog signal emulation, DSP (digital signal processing), and scientific computations.
Communication protocols often encode binary data using octal or hex for readability and efficiency:
Most modern systems use 8-bit bytes. Binary values are often converted to octal for aligned formatting:
11111111 → Octal: 3771100110011001100 → Octal: 314314Using octal ensures clean byte-aligned representation when debugging data streams or interpreting memory dumps.
Older computing architectures like PDP-11, IBM System/360, and early UNIVAC systems used octal-based addressing:
This makes binary-to-octal conversion essential when working with retrocomputing, simulators, or emulator tools.
Many systems rely on converting binary into both hex and octal depending on the context:
| Binary | Octal | Hex | Decimal |
|---|---|---|---|
| 1010 | 12 | A | 10 |
| 110011 | 63 | 33 | 51 |
| 10000000 | 200 | 80 | 128 |
This multi-base mapping is common in low-level debugging, data compression algorithms, and operating system kernels.
Octal format is often used in encoding schemes where binary is too verbose and hex is too large:
065 → jump opcode) in older machine code.\033 for Escape).In circuit diagrams or Karnaugh maps, octal is used to reduce complexity when labeling logic output combinations. Instead of labeling outputs as 000, 001, 010..., designers often use octal: 0, 1, 2...
This leads to easier design, testing, and documentation for multiplexers, memory address decoders, and programmable logic arrays (PLAs).
If you're working with binary logs, such as network packet captures or sensor readings, our tool supports long binary strings in bulk:
1100110010011100 into clean octal blocks: 314234Students often get confused between grouping by 3 (for octal) and 4 (for hex). Here's a strategy:
The Binary to Octal Converter is a powerful learning and development tool for anyone working with number systems, operating systems, hardware programming, or educational content. Use it to simplify your binary inputs, reinforce number theory knowledge, and convert data between foundational systems of computing.
Use Easy Converters' Binary to Octal Converter today and boost your productivity, clarity, and understanding of digital logic.