Binary, Hex & Octal Converter
If you've ever stared at a string of 1s and 0s and wondered what it means, or needed to convert a hex color code like #FF5733 into something a human can actually read, this tool is for you. The Binary, Hex & Octal Converter lets you instantly translate numbers between binary (base-2), hexadecimal (base-16), octal (base-8), and decimal (base-10) — no manual math required. Whether you're debugging low-level code, working with memory addresses, setting up subnet masks, or just trying to understand how computers represent data, this converter handles all the heavy lifting. Just pick your input format, type in the number, choose your target format, and get the result in real time. It's fast, accurate, and works entirely in your browser — nothing gets sent to a server.
What Is
Binary, hexadecimal, and octal are different number systems used in computing and digital electronics. Each system uses a different base: binary uses base-2 (digits 0 and 1), octal uses base-8 (digits 0-7), decimal uses base-10 (digits 0-9, the one we use every day), and hexadecimal uses base-16 (digits 0-9 plus letters A-F). Computers natively operate in binary because their circuits have two states — on and off. But long binary strings are hard for humans to read, which is why hex and octal exist as shorthand. For example, the binary number 11111111 is FF in hex and 255 in decimal — much easier to work with. This converter lets you switch between any of these systems instantly. You can convert binary to hex, hex to octal, decimal to binary, or any other combination. It's essential for programmers working with memory addresses, color codes, file permissions (like chmod 755), embedded systems, network configuration, and digital logic design. Instead of doing division and remainder calculations by hand, you get the correct answer in milliseconds.
How to Use
- Select your source number system from the input dropdown — choose Binary, Hex, Octal, or Decimal depending on what format your starting number is in.
- Type or paste your number into the input field. For binary, use only 0s and 1s. For hex, use 0-9 and A-F. For octal, use 0-7. For decimal, use 0-9.
- Pick your target number system from the output dropdown — this is the format you want to convert to. You can choose any of the four systems regardless of your input format.
- The converted result appears instantly in the output area. No need to click a convert button — the tool calculates in real time as you type or change formats.
- Use the copy button next to the result to copy it to your clipboard, then paste it wherever you need it — code editor, terminal, documentation, or email.
Examples
Input: Convert 10 km to miles
Process: 10×0.6214=6.214
Result: 10km=6.214miles
Input: Convert 100 cm to inch
Process: 100×0.3937=39.37
Result: 100cm=39.37inch
Input: Convert 5 kg to lbs
Process: 5×2.2046=11.023
Result: 5kg=11.023lbs
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Frequently Asked Questions
What's the difference between binary, hex, octal, and decimal?
These are all number systems with different bases. Decimal (base-10) is what humans use daily — digits 0 through 9. Binary (base-2) uses only 0 and 1, and it's what computers use internally. Octal (base-8) uses digits 0-7 and was historically used in computing because three binary digits map neatly to one octal digit. Hexadecimal (base-16) uses 0-9 and A-F, and it's the most popular shorthand in modern computing because four binary digits map to one hex digit, making it compact and easy to read. For instance, the decimal number 255 is 11111111 in binary, 377 in octal, and FF in hex.
Can I convert from hex directly to octal without going through decimal?
Yes, absolutely. This tool handles direct conversions between any pair of number systems. You can go from hex to octal, binary to hex, octal to binary, or any other combination — no intermediate steps needed. The converter does all the math internally, so you just select your input and target formats and get the result instantly.
Why do programmers use hex instead of binary?
Binary numbers get extremely long and hard to read. A 32-bit value like 11111111111111111111111111111111 is painful to work with, but in hex it's just FFFFFFFF — much shorter and easier to spot patterns. Hex is also directly convertible to binary (each hex digit = exactly 4 binary digits), so there's no loss of precision. Memory addresses, color codes (#RRGGBB), MAC addresses, and error codes are all typically displayed in hex for this reason.
Is there a limit to how large a number I can convert?
The tool handles numbers within JavaScript's safe integer range, which covers virtually all practical use cases — from single bits up to very large values. For typical programming tasks like converting memory addresses, color values, file permissions, or register values, you won't hit any limits. If you're working with extremely large numbers beyond standard computing ranges, you might need a specialized arbitrary-precision tool.
How is octal used in real-world computing?
Octal is still used in several practical contexts. The most common is Unix file permissions — when you see chmod 755 or chmod 644, those are octal numbers where each digit represents read, write, and execute permissions for owner, group, and others. Octal was also widely used in early computing systems like the PDP-11, and it appears in some escape sequences in programming languages (like \123 in C). While hex has largely replaced octal in most modern applications, understanding octal remains important for system administration and legacy code.