Hex to Decimal Converter

Convert hexadecimal numbers to decimal format with real-time conversion and detailed explanations.

Enter a hexadecimal number to see conversion

Input Format Options

Example Conversions

Basic Hex
FF
→ 255
With 0x Prefix
0x1A3
→ 419
Large Hex Number
abc123
→ 11,256,099
Common Hex Value
DEADBEEF
→ 3,735,928,559
Single Digit
1
→ 1
32-bit Max
FFFFFFFF
→ 4,294,967,295

About Our Hex to Decimal Converter

The Hex to Decimal Converter is a powerful tool for converting hexadecimal numbers (base-16) to decimal format (base-10). Whether you're a programmer, computer science student, or working with digital systems, our converter provides accurate real-time conversion with detailed step-by-step explanations and support for large numbers up to 64-bit values.

Key Features

  • Real-time Conversion: See results instantly as you type
  • Flexible Input: Support for hex numbers with or without "0x" prefix
  • Case Insensitive: Works with both uppercase and lowercase hex digits (A-F, a-f)
  • Large Number Support: Handle hex numbers up to 64-bit values
  • Step-by-step Explanation: Understand how the conversion works
  • Multiple Formats: View results in hex, decimal, and binary formats
  • Copy Functionality: One-click copying of conversion results
  • Input Validation: Clear error messages for invalid hex input
  • Mobile-Friendly: Responsive design that works on all devices

How to Use the Hex to Decimal Converter

  1. Enter your hexadecimal number in the input field (with or without "0x" prefix)
  2. The conversion happens automatically in real-time (if enabled)
  3. Or click "Convert to Decimal" to see the result
  4. View the decimal result along with different format representations
  5. See step-by-step conversion explanation (if enabled)
  6. Use the copy button to copy the result to your clipboard
  7. Try the example conversions for common hex values

Supported Input Formats

  • Standard Hex: FF, ABC, 123, DEADBEEF
  • With 0x Prefix: 0xFF, 0xABC, 0x123, 0xDEADBEEF
  • Mixed Case: Ff, aBc, DeAdBeEf (automatically normalized)
  • Large Numbers: Up to 16 hex digits (64-bit values)

Understanding Hexadecimal Numbers

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

Hexadecimal Digits and Values

Each hexadecimal digit represents a 4-bit binary value:

  • 0 = 0 in decimal = 0000 in binary
  • 1 = 1 in decimal = 0001 in binary
  • 2 = 2 in decimal = 0010 in binary
  • 3 = 3 in decimal = 0011 in binary
  • 4 = 4 in decimal = 0100 in binary
  • 5 = 5 in decimal = 0101 in binary
  • 6 = 6 in decimal = 0110 in binary
  • 7 = 7 in decimal = 0111 in binary
  • 8 = 8 in decimal = 1000 in binary
  • 9 = 9 in decimal = 1001 in binary
  • A = 10 in decimal = 1010 in binary
  • B = 11 in decimal = 1011 in binary
  • C = 12 in decimal = 1100 in binary
  • D = 13 in decimal = 1101 in binary
  • E = 14 in decimal = 1110 in binary
  • F = 15 in decimal = 1111 in binary

Hex to Decimal Conversion Process

Converting hexadecimal to decimal involves multiplying each digit by the corresponding power of 16:

  • Position 0 (rightmost): digit × 16⁰ = digit × 1
  • Position 1: digit × 16¹ = digit × 16
  • Position 2: digit × 16² = digit × 256
  • Position 3: digit × 16³ = digit × 4,096
  • And so on...

Example Conversion: 1A3 to Decimal

Let's convert the hex number "1A3" to decimal:

  1. Break down by position: 1A3 = 1×16² + A×16¹ + 3×16⁰
  2. Convert hex digits: A = 10 in decimal
  3. Calculate: 1×256 + 10×16 + 3×1
  4. Simplify: 256 + 160 + 3 = 419
  5. Result: 1A3₁₆ = 419₁₀

Common Use Cases

Hexadecimal to decimal conversion is essential in many fields:

Programming and Software Development

  • Memory Addresses: Converting hex memory addresses to decimal for debugging
  • Color Codes: Understanding RGB color values in web development
  • Error Codes: Interpreting system error codes and status values
  • Bit Manipulation: Working with bitwise operations and flags
  • Assembly Language: Converting between hex opcodes and decimal values

Digital Systems and Hardware

  • Microcontrollers: Programming embedded systems and IoT devices
  • Network Configuration: Converting MAC addresses and IP configurations
  • Digital Forensics: Analyzing binary data and file headers
  • Cryptography: Working with hash values and encryption keys

Education and Learning

  • Computer Science: Understanding number systems and data representation
  • Mathematics: Learning about different base number systems
  • Electronics: Working with digital circuits and logic design
  • Homework Help: Solving assignments involving number base conversions

Tips for Working with Hexadecimal

Here are helpful tips for working with hexadecimal numbers:

  1. Remember the hex digits: 0-9 and A-F (or a-f) are the only valid characters
  2. Use the 0x prefix: Many programming languages use "0x" to denote hex numbers
  3. Group by fours: Each hex digit represents exactly 4 binary bits
  4. Practice common values: Memorize frequently used hex values like FF (255), 100 (256)
  5. Validate input: Always check for invalid characters in hex strings
  6. Consider byte boundaries: Two hex digits represent one byte (8 bits)

Common Hexadecimal Values

  • F: 15 (maximum single hex digit)
  • FF: 255 (maximum byte value)
  • 100: 256 (one more than maximum byte)
  • FFFF: 65,535 (maximum 16-bit value)
  • FFFFFFFF: 4,294,967,295 (maximum 32-bit value)
  • DEADBEEF: 3,735,928,559 (common test value)

Whether you're debugging code, working with digital systems, or learning about number systems, our Hex to Decimal Converter provides the accuracy and functionality you need for reliable hexadecimal-to-decimal conversions.