Convert HEX to DECIMAL, Free
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How to convert HEX to DECIMAL
Hexadecimal (base-16) is the compact notation used pervasively in computing: memory addresses, color codes, file byte offsets, and network protocol fields all appear in hex. Decimal is the base-10 system you use for arithmetic. Converting hex to decimal is essential when debugging low-level code, interpreting error codes, or working with colors expressed as hex RGB values.
Each hexadecimal digit represents 4 bits, so a two-digit hex value (00 to FF) covers the range 0 to 255, exactly one byte. The converter handles any length of hex input and performs the positional sum calculation: each digit is multiplied by 16 raised to its position power, then the products are summed.
Enter the hexadecimal value
Type the hex string. The 0x prefix is optional and accepted. Letters A through F are case-insensitive.
Read the decimal result
The converter calculates the positional value of each hex digit and displays the decimal sum instantly.
Use in code or documentation
Copy the decimal result for use in programming (array indices, switch cases) or documentation where decimal is more readable.
Check for invalid input
Characters outside 0-9 and A-F flag an error. Hex uses only sixteen symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
Frequently asked questions
What is the decimal value of hex FF?
FF in hex equals (15 x 16) + (15 x 1) = 240 + 15 = 255. This is the maximum value of one byte, used extensively as a limit in color channels (RGB each go from 0 to 255) and byte-level data processing.
How do I convert hex to decimal manually?
Assign each hex digit a value: 0-9 stay as-is, A=10, B=11, C=12, D=13, E=14, F=15. Multiply each digit by 16 to the power of its position (rightmost is position 0). Sum all products. Example: 1A = (1 x 16) + (10 x 1) = 26.
Why does software use hexadecimal?
One hex digit maps to exactly 4 binary bits (a nibble), making hex a compact and human-readable proxy for binary. Two hex digits represent one byte. This alignment with binary data structures makes hex natural for memory addresses, file headers, and color values.
What is the largest hex value this tool handles?
JavaScript's safe integer maximum is 2^53 - 1 (about 9 quadrillion), which corresponds to hex FFFFFFFFFFFF (12 digits). For values larger than this, use a big-integer library or a language with native arbitrary-precision arithmetic.
How do HTML color codes relate to hexadecimal?
An HTML color like #3A7FC1 is three consecutive hex bytes: R=3A (58), G=7F (127), B=C1 (193). Each pair converts to a decimal 0-255 value representing the intensity of that color channel.