Hex Converter
Convert hexadecimal to decimal, binary, and octal. Encode/decode text to hex bytes, view hex color swatches, generate hex dumps, and add hex numbers.
What is a Hex Converter?
A hex converter is a tool that translates numbers between hexadecimal (base 16), decimal (base 10), binary (base 2), and sometimes octal (base 8) or ASCII text. Hexadecimal is a positional numeral system using sixteen distinct symbols: the digits 0–9 and the letters A–F, where A represents 10, B represents 11, and so on through F representing 15. Each hexadecimal digit corresponds to exactly four binary bits, making hex a compact and human-readable representation of binary data.
Hexadecimal is ubiquitous in computing. Memory addresses are expressed in hex (e.g. 0x7FFFFFFF), colour codes in HTML/CSS use hex (e.g. #FF5733), byte values in network protocols and file formats are written in hex, and machine code disassembly is displayed in hex. The 0x prefix is a convention in most programming languages to denote a hexadecimal literal. The hash outputs of MD5, SHA-256, and other cryptographic functions are also displayed as hexadecimal strings.
Hex converters are used by software developers debugging memory issues, web designers picking colours, hardware engineers reading datasheets, cybersecurity professionals analysing packet captures and malware, and computer science students learning number systems. Converting between number bases by hand is error-prone for large values — a hex converter performs the conversion instantly and accurately for values of any size.
How the Hex Converter Works
Formula, assumptions, and calculation steps for this dev tools tool.
Formula Used
Decimal to Hex uses repeated division by 16, mapping remainders 0-15 to 0-9 and A-F
Methodology
Converts between hexadecimal and decimal, or binary, using positional base-16 arithmetic.
Calculation Steps
- Provide the input text or select generation options.
- Apply the selected encoding, parsing, hashing, or formatting rule.
- Validate the output where possible.
- Return copy-ready developer output.
Assumptions and Limits
- Generated or transformed output depends exactly on the supplied input.
- Security-sensitive values should be handled carefully.
- Browser tools do not replace production validation.
Frequently Asked Questions
Hexadecimal (hex) is a base-16 number system using digits 0–9 and letters A–F. It is widely used in computing because each hex digit represents exactly 4 binary bits (a nibble), making it a compact representation of binary data. Two hex digits represent one byte (8 bits).
Hex is more human-readable than binary but still maps cleanly to binary. Memory addresses, color codes (#RGB), file permissions, byte values in protocols, and machine code are all commonly expressed in hex. It is much easier to read 0xFF than 11111111.
A hex dump shows data as three columns: an address offset (which byte position), the hex values of each byte (usually 16 per row), and the ASCII representation (printable characters shown, non-printable shown as a dot). It is used to inspect raw binary files or network packets.
0xFF = 255 in decimal. FF in hex is 15×16 + 15 = 255. It represents a byte with all 8 bits set to 1 (11111111 in binary). 0xFF is frequently used as a bitmask in low-level programming to isolate the lowest 8 bits of an integer.
Real-World Applications
Common Mistakes
Number Base Comparison Reference
| Decimal | Hexadecimal | Binary | Octal |
|---|---|---|---|
| 0 | 0x00 | 0000 0000 | 000 |
| 15 | 0x0F | 0000 1111 | 017 |
| 16 | 0x10 | 0001 0000 | 020 |
| 255 | 0xFF | 1111 1111 | 377 |
| 256 | 0x100 | 0001 0000 0000 | 400 |
| 65535 | 0xFFFF | 1111 1111 1111 1111 | 177777 |
References
- IEEE. IEEE 754-2019 — Standard for Floating-Point Arithmetic. IEEE, 2019.
- Knuth, Donald. The Art of Computer Programming, Vol. 2. Addison-Wesley, 1997.
- Patterson, David A. and Hennessy, John L. Computer Organization and Design. Elsevier, 2020.
- ISO/IEC 9899:2018. C18 — Programming Language C Standard. ISO, 2018.
- NIST. FIPS PUB 197 — Advanced Encryption Standard (AES). NIST, 2001.
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