Hexadecimal to Decimal Converter

Convert hexadecimal numbers to decimal format instantly. This tool is designed for developers, system administrators, and anyone working with low-level programming. Supports hex strings with or without prefixes, handles both uppercase and lowercase letters, and runs entirely offline in your browser.

Understanding Hexadecimal to Decimal Conversion

Why Hexadecimal Matters

Hexadecimal (base-16) is widely used in computing because it provides a more human-friendly representation of binary-coded values. Each hex digit represents exactly 4 bits, making it perfect for memory addresses, color codes, and low-level programming where direct binary manipulation is required.

Step-by-Step Conversion Process

Remove any '0x' prefix if present
Convert each hex digit to its 4-bit binary equivalent
Multiply each digit by 16^position (starting from right, position 0)
Sum all the resulting values

Practical Examples

Hexadecimal	Decimal	Calculation
1A	26	1×16 + 10×1
FF	255	15×16 + 15×1
3E8	1000	3×256 + 14×16 + 8×1

Hexadecimal Digit Reference

Hex Digit	Decimal Value	Binary
0-9	0-9	0000-1001
A/a	10	1010
B/b	11	1011
C/c	12	1100
D/d	13	1101
E/e	14	1110
F/f	15	1111

Frequently Asked Questions

What is the maximum hex value this converter can handle?

This converter uses JavaScript's number system, which can safely handle integers up to 2^53 - 1 (9007199254740991). For hex values, this translates to 0x1FFFFFFFFFFFFF.

Does case matter for hex letters?

No, this converter treats uppercase and lowercase hex letters identically. Both 'A' and 'a' represent decimal 10.

What happens with invalid hex characters?

The converter will show an error message and highlight the problematic characters. Only characters 0-9, A-F, and a-f are valid (plus optional '0x' prefix).

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Hexadecimal to Decimal Converter

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