Hexadecimal to Decimal Converter

Real-time conversion tool with advanced features for developers and students

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Tool Accuracy
100%
Hexadecimal to Decimal Converter
HEX
Enter a valid hexadecimal number (0-9, A-F). Prefix with '0x' is optional.
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Input Type
Hexadecimal
Output Type
Decimal
Character Count
0
Valid Format
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Step-by-Step Conversion Process

Enter a hexadecimal value to see the detailed conversion process

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Other Bases
Octal, Base64, etc.

Understanding Hexadecimal to Decimal Conversion

What is Hexadecimal?

Hexadecimal (base-16) is a numeral system that uses 16 distinct symbols: 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen. It's widely used in computing and programming because it's more human-friendly than binary and provides a concise representation of binary-coded values.

How to Convert Hexadecimal to Decimal

To convert hexadecimal to decimal, follow these steps:

  1. Write down the hexadecimal number
  2. Get the decimal equivalent of each hexadecimal digit (A=10, B=11, C=12, D=13, E=14, F=15)
  3. Multiply each digit by 16 raised to its positional power (starting from 0 on the right)
  4. Sum all the products to get the decimal equivalent
Example: Converting 1A3 to Decimal

Step 1: 1A3 = 1 × 16² + A × 16¹ + 3 × 16⁰

Step 2: = 1 × 256 + 10 × 16 + 3 × 1

Step 3: = 256 + 160 + 3

Step 4: = 419

Thus, hexadecimal 1A3 equals decimal 419.

Why Use This Converter Tool?

Common Hexadecimal Values

Hexadecimal Decimal Binary Usage
FF 255 11111111 Maximum 8-bit value
100 256 100000000 Power of 2
7FFF 32767 0111111111111111 Maximum signed 16-bit
FFFF 65535 1111111111111111 Maximum unsigned 16-bit
10FFFF 1114111 100001111111111111111 Unicode maximum
Pro Tip

When working with memory addresses or color codes in programming, hexadecimal notation is often preferred. Use this tool to quickly convert between hexadecimal and decimal representations without manual calculations.