Hexadecimal to Decimal Converter

Convert hexadecimal numbers to their decimal equivalents. This tool is useful for programmers and those working with different number systems.

Input Parameters

Accepts hexadecimal values (0-9, A-F, a-f)

Calculation Results

Decimal Result

0

Where:
Hexadecimal is a base-16 number system using digits 0-9 and letters A-F.
Decimal is a base-10 number system using digits 0-9.

Calculation Formula

For a hexadecimal number ABC,
Decimal = A × 16² + B × 16¹ + C × 16⁰

Where:
A, B, C are hexadecimal digits
16 is the base of the hexadecimal system

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. Hexadecimal numbers use the digits 0-9 and the letters A-F (case insensitive).
  2. Click the "Calculate" button to convert the hexadecimal number to decimal.
  3. The decimal equivalent will be displayed in the result area.
  4. If you enter an invalid character (not a valid hexadecimal digit), the calculator will show "Invalid input".
  5. Click "Reset" to clear all inputs and results.

Understanding Hexadecimal and Decimal Conversion

Hexadecimal (base-16) is a positional numeral system with a radix of 16. It uses sixteen distinct symbols, 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen.

Decimal (base-10) is the standard number system we use daily, using ten distinct symbols: 0-9.

Example

Let's convert the hexadecimal number 1A3 to decimal:

  • 1 × 16² = 1 × 256 = 256
  • A (which is 10 in decimal) × 16¹ = 10 × 16 = 160
  • 3 × 16⁰ = 3 × 1 = 3
  • Total = 256 + 160 + 3 = 419

So, the decimal equivalent of hexadecimal 1A3 is 419.

Common Uses

Hexadecimal is commonly used in:

  • Computer programming and memory addressing
  • Color codes in web design
  • HTML and CSS
  • Flash memory and storage devices