How does hex to decimal conversion work?

Each hexadecimal digit is a power of sixteen. The value is the sum of each digit times its place value — for example 0xBEEF is 11x16 cubed + 14x16 squared + 14x16 + 15 = 48879.

Can I include a 0x prefix or spaces?

Yes. A leading 0x (case-insensitive) and any spaces are stripped automatically before conversion, so pasted values just work. Letters A–F may be upper or lower case.

What do the hex letters A to F mean?

Hex needs 16 symbols per digit, so after 0–9 it uses A=10, B=11, C=12, D=13, E=14, F=15. So FF is 15x16 + 15 = 255.

Why is hexadecimal used in computing?

Each hex digit maps to exactly four binary bits, so two hex digits represent one byte cleanly. That makes hex a compact, readable way to write colours (#FF8800), memory addresses, and byte data.

What is the largest value I can convert?

The tool converts up to the JavaScript safe-integer limit (2^53 − 1, i.e. 9007199254740991, or 0x1FFFFFFFFFFFFF). Larger hex values would lose precision, so they are rejected rather than shown wrong.

Is my data sent to a server?

No. The conversion runs entirely in your browser — nothing is uploaded anywhere.

Hex to Decimal Converter

Hex to decimal — base-16 to base-10

Paste any hexadecimal value, with or without a 0x prefix, and this tool returns the decimal (base 10) number, plus the binary and octal equivalents. Hexadecimal is the compact base programmers use for colours, memory addresses, and byte data, because each digit maps neatly to four binary bits.

How it works

The tool strips an optional 0x prefix and any spaces, checks the remaining text contains only valid hex digits (0–9, A–F), and parses it as base 16. Internally each digit contributes its value times a power of sixteen: the rightmost digit is 16⁰ = 1, the next is 16¹ = 16, then 16² = 256, and so on. The decimal result is the sum, and the binary and octal forms are derived from the same number. If a value exceeds the safe-integer range it is rejected to avoid silent rounding.

Example

Convert 0xBEEF:

B = 11 → 11 × 16³ = 45056
E = 14 → 14 × 16² = 3584
E = 14 → 14 × 16¹ = 224
F = 15 → 15 × 16⁰ = 15
Total = 48879

Hex	Decimal	Binary	Octal
F	15	1111	17
FF	255	11111111	377
100	256	100000000	400
BEEF	48879	1011111011101111	137357

Everything runs in your browser — nothing is uploaded.