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Math

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Math

Hexadecimal to Decimal Calculator.

Converts a hexadecimal number (base 16) to its decimal (base 10) equivalent.

Results update live as you type.
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Your inputs

How it works

  1. 1

    Enter the hexadecimal number as a decimal integer (e.g., 255 for FF).

  2. 2

    The calculator interprets the input as a hexadecimal value.

  3. 3

    It converts that value to its decimal equivalent.

  4. 4

    The result is displayed as a decimal number.

hex_value

Frequently asked questions

How do I enter hexadecimal digits A-F?

This calculator uses numeric input only. For hex digits A-F, convert them to their decimal equivalents: A=10, B=11, C=12, D=13, E=14, F=15. For example, hex 'FF' is entered as 255.

What is the maximum value I can enter?

The maximum input is 4294967295, which corresponds to hex FFFFFFFF (8 hex digits).

Why is the result the same as the input?

Because the input is already a decimal number representing the hex value. The calculator simply displays that number as the decimal equivalent.

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Results

Formula checked

Decimal value

255

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Estimate for general guidance only — verify important decisions with an appropriate professional.

How it works

Converts a hexadecimal number (base 16) to its decimal (base 10) equivalent.

  1. Enter the hexadecimal number as a decimal integer (e.g., 255 for FF).
  2. The calculator interprets the input as a hexadecimal value.
  3. It converts that value to its decimal equivalent.
  4. The result is displayed as a decimal number.

Formulas

The math behind this calculator, written out so you can verify the result.

Hexadecimal to Decimal Conversion

d = Σ (h_i × 16^i)

Each hex digit is multiplied by 16 raised to its position power, then summed.

Example:

Input: hex = 2F (entered as 47)

Calculation: 2×16^1 + 15×16^0 = 32 + 15

Result: 47

Real-world use cases

Where this calculation shows up in everyday life.

Programming and Debugging

Convert hex color codes or memory addresses to decimal for calculations.

Example: Convert #FF0000 to decimal 16711680.

Networking

Convert IP addresses or MAC addresses from hex to decimal.

Example: Convert hex 0xC0A80001 to decimal 3232235521.

Education

Learn and verify manual hex-to-decimal conversions.

Example: Check that hex 1A equals decimal 26.

Tips and common mistakes

Tips

  • Remember that hex digits A-F correspond to 10-15.
  • For large hex numbers, break them into groups of four digits for easier conversion.
  • Use the calculator to verify your manual conversions.

Common Mistakes to Avoid

  • Confusing hex digits with decimal numbers (e.g., treating 'A' as 1 instead of 10).
  • Forgetting to multiply each digit by the correct power of 16.
  • Entering letters directly into the numeric input field.

Assumptions and limitations

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.