Translate Base-16 to Base-10
When debugging software, reading network packets, or analyzing a core dump, error codes and memory addresses are almost always presented in Hexadecimal. To make sense of these values, they must be converted into standard, human-readable numbers. Our Hex to Decimal Converter instantly translates Base-16 strings into standard Base-10 math.
How Positional Values Work in Hex
Converting Hex to Decimal involves multiplying each digit by increasing powers of 16, reading from right to left:
- The Columns: In our standard decimal system, columns represent 1s, 10s, 100s. In Hexadecimal, the columns represent 1s, 16s, 256s, 4096s, and so on.
- The Letter Values: Remember that A=10, B=11, C=12, D=13, E=14, and F=15.
- A Real Example (Hex `2F`):
The right-most digit is `F` (which is 15). The value is $15 \times 1 = 15$.
The next digit to the left is `2`. Because it is in the "16s column", the value is $2 \times 16 = 32$.
Finally, add them together: $32 + 15 = 47$. Therefore, Hex `2F` equals Decimal `47`.
How to Use This Tool
- Upload or Input Data: Select your file or paste your data directly into the tool interface. Everything remains on your device.
- Configure & Process: Adjust any optional settings if necessary. The tool will process your data instantly inside your browser.
- Download Result: Preview the output and click the download or copy button to save your final results.
Frequently Asked Questions
Why do computers use Hexadecimal at all?
Because Binary (1s and 0s) is too long for humans to read. One single Hexadecimal character perfectly represents exactly 4 binary bits (a nibble). It is an incredibly efficient shorthand for machine code.
How do CSS Hex Colors map to Decimal?
A CSS color like `#FF0000` (Red) is just three Hex numbers squished together: Red (FF), Green (00), and Blue (00). If you convert `FF` to decimal, you get exactly 255. Therefore, the RGB decimal value is rgb(255, 0, 0).
What happens if I enter an invalid character?
Hexadecimal strictly only allows the numbers 0-9 and the letters A-F. If you accidentally type a 'G' or 'H', the calculator will throw an error because those characters have no mathematical value in Base-16.