Hex to Decimal Converter - Convert Hex Online
HEX to Decimal Converter
Base-16 to Base-10 Translator
How HEX to Decimal Conversion Works
Color Components
Convert HEX color codes into their RGB decimal components for use in graphical editors.
Memory Pointers
Translating HEX memory offsets into decimal to better understand data structures or buffers.
Assembly Coding
Useful for assembly or low-level C code where literal constants often need decimal verification.
MAC & IPv6 Analysis
MAC addresses and IPv6 identifiers are written in HEX; converting parts to decimal helps in networking.
Positional Weighting Logic
Translating hexadecimal (Base-16) to decimal (Base-10) is a weighted process. Each position represents a power of 16. Symbols 0-9 and A-F are assigned numerical values (A=10...F=15). To find the decimal value, we multiply each digit by its positional weight and sum the results.
Key Takeaways
- Positional Math: The rightmost digit is 16⁰, the next is 16¹, then 16², and so on.
- Symbol Values: Letters A through F represent the values 10 through 15.
- Universal Context: Decimal is the human default, making this vital for reporting.
Frequently Asked Questions
- Type or paste a hexadecimal value into the HEX Input box, such as 1A, FF, or 4D2.
- Click Convert to instantly see the decimal result.
- Check the Bits, Bytes, and HEX Len cards for a quick data-size breakdown.
- Use Copy to copy the decimal result, or Swap to flip the tool into decimal-to-hex mode.
- Click Clear to reset the fields and convert a new value.
Hexadecimal is a base-16 positional number system, so each digit represents a power of 16 based on its position, starting from 16 to the power of 0 on the far right. The symbols 0 through 9 keep their normal values, while A through F represent the values 10 through 15. To convert, you multiply each hex digit by 16 raised to its position and add the results together. For example, the hex value 1A equals (1 times 16 to the power of 1) plus (10 times 16 to the power of 0), which is 16 plus 10, giving a decimal value of 26.
Standalone hex numbers do not carry a sign, so negative values are usually represented using two's complement within a fixed bit width, such as 8, 16, 32, or 64 bits. In two's complement, if the leftmost bit is 1, the value is negative, and you calculate its magnitude by inverting the bits and adding one. For very large hex strings, the same positional-power method applies, but the results quickly exceed what standard 32-bit or 64-bit integers can hold, so tools built for arbitrary-precision arithmetic are needed for extremely long values.
The maximum depends on how many hex digits, and therefore bits, are used. A single byte, written as two hex digits, ranges from 00 to FF and covers decimal 0 to 255. A 32-bit value, written as eight hex digits, ranges up to FFFFFFFF, which equals 4,294,967,295 in decimal. There is no fixed ceiling for hex itself, since additional digits simply extend the range further.
Hexadecimal is base-16 and uses sixteen symbols, 0 through 9 and A through F, while octal is base-8 and uses only the digits 0 through 7. Hex is favored in modern computing because each hex digit maps cleanly onto exactly four binary bits, making it easy to read memory dumps, color codes, and byte values at a glance. Octal was more common in older systems where word sizes were multiples of three bits, and it still appears today in contexts like Unix file permission notation.