Hex to Decimal Converter

Hex to Decimal Converter

A high-performance, bi-directional calculator to instantly convert Base-16 hexadecimal codes into standard Base-10 decimal numbers.

Invalid Hex (0-9, A-F)
Numbers Only (0-9)

How the Hex to Decimal Converter Works

Translating memory pointers, color codes, or hashed data from their native hexadecimal format back into human-readable numbers is a common task for developers. Our free, client-side Hex to Decimal Converter utilizes native JavaScript BigInt technology to ensure massive data strings are accurately calculated without encountering standard browser rounding errors.

How to Convert Hex to Decimal Manually

Hexadecimal is a "Base-16" numbering system, meaning each column's value is 16 times greater than the column to its right. To convert it to a standard decimal (Base-10), you must multiply each hexadecimal digit by $16$ raised to the power of its position (starting with $0$ on the far right).

Here is the exact mathematical logic our calculator uses in the Multiplication Steps panel:

  1. Map the Characters: Ensure any letter values are mapped to their decimal equivalents (e.g., $A=10$, $B=11$, $C=12$, $D=13$, $E=14$, $F=15$).
  2. Determine Positional Power: Assign a power to each digit starting from $0$ on the rightmost digit, increasing by $1$ as you move left.
  3. Multiply: Multiply the mapped decimal value by $16^{\text{power}}$.
  4. Sum the Results: Add the results of all multiplications together to get your final decimal output.

Conversion Example

Let's convert the hexadecimal string A3F into a decimal:

A (10) × 16² = 10 × 256 = 2560 3 (3) × 16¹ = 3 × 16 = 48 F (15) × 16⁰ = 15 × 1 = 15 Total Sum: 2560 + 48 + 15 = 2623

Frequently Asked Questions (FAQ)

Will this tool round off very large hex values?

No. Standard web converters often use 64-bit floating-point numbers which max out and lose precision around $2^{53} - 1$. Our tool was built specifically with a BigInt engine, allowing it to accurately translate strings of theoretically infinite length perfectly.

Can I type decimals to get hexadecimal?

Yes. This tool is fully bi-directional. If you paste a standard number into the Decimal panel, the tool instantly calculates and displays the corresponding Base-16 output in the left panel.

Are commas included when I copy the code?

While the "Format with Commas" checkbox improves readability inside the tool's interface, the Copy Decimal button automatically strips formatting. This ensures the value you paste into your IDE or terminal is "code-ready" and won't throw syntax errors.