Hexadecimal to Decimal Converter

Convert hexadecimal numbers to their decimal equivalents. This calculator can be used for programming, digital electronics, and mathematics applications.

Input Parameters

Enter a valid hexadecimal number without the '0x' prefix.

Calculation Results

Decimal Result

Calculation Formula

Decimal = (dn × 16n + dn-1 × 16n-1 + ... + d1 × 161 + d0 × 160)₁₀

Where:
- Each di represents a digit in the hexadecimal number
- The base 16 ( hexadecimal ) is raised to the power of the position of the digit (starting from 0 on the right)

Hexadecimal to Decimal Converter Calculator Usage Guide

Learn how to use the Hexadecimal to Decimal Converter calculator and its working principles

How to Use This Calculator

  1. Enter a hexadecimal number in the input field (e.g., 1A3F). Hexadecimal numbers use digits 0-9 and letters A-F.
  2. Click the "Calculate" button to convert the hexadecimal number to its decimal equivalent.
  3. The decimal result will be displayed in the result field.
  4. The calculation formula shows how each digit is weighted by powers of 16 based on its position.
  5. Click "Reset" to clear all inputs and results.

Understanding Hexadecimal to Decimal Conversion

Hexadecimal (base 16) is a positional numeral system with digits from 0 to 15. Since we only have 10 digits in our decimal system, letters A through F are used to represent values 10 through 15.

For example, the hexadecimal number 1A3F is calculated as:

1 × 16³ + A(10) × 16² + 3 × 16¹ + F(15) × 16⁰ = 4096 + 2560 + 48 + 15 = 6719

Common Applications

  • Computer programming (colors, memory addresses)
  • Digital electronics and microcontrollers
  • Web design (color codes)
  • Mathematics and cryptography