Decimal to Hex Converter

Convert decimal numbers to hexadecimal format with step-by-step explanations and detailed format displays.

Enter a decimal number to see conversion

Output Format Options

Example Conversions

Basic Decimal
255
→ FF
Power of 2
1024
→ 400
16-bit Max
65535
→ FFFF
Large Number
3735928559
→ DEADBEEF
Base Value
16
→ 10
32-bit Max
4294967295
→ FFFFFFFF

About Our Decimal to Hex Converter

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

Key Features

  • Manual Conversion: Click-to-convert functionality for precise control
  • Large Number Support: Handle decimal numbers up to 64-bit values
  • Multiple Format Display: View results in decimal, hex, hex with 0x prefix, and binary
  • Step-by-step Explanation: Understand the conversion process with detailed steps
  • Format Options: Choose uppercase/lowercase hex letters and prefix preferences
  • Copy Functionality: One-click copying of conversion results
  • Input Validation: Clear error messages for invalid decimal input
  • Clean Results: Numbers displayed without comma formatting
  • Mobile-Friendly: Responsive design that works on all devices

How to Use the Decimal to Hex Converter

  1. Enter your decimal number in the input field
  2. Choose your preferred output format options (uppercase, prefix, steps)
  3. Click "Convert to Hex" to see the hexadecimal result
  4. View the hex 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 decimal values

Supported Input Range

  • Positive Integers: 0 to 18,446,744,073,709,551,615 (64-bit maximum)
  • Common Values: 0, 1, 16, 255, 1024, 65535, 4294967295
  • Large Numbers: Support for numbers up to 16 hex digits
  • Edge Cases: Proper handling of 0 and maximum values

Understanding Decimal to Hexadecimal Conversion

Converting decimal to hexadecimal involves repeatedly dividing the decimal number by 16 and collecting the remainders. The hexadecimal system uses 16 symbols: 0-9 for values zero to nine, and A-F for values ten to fifteen.

Decimal to Hex Conversion Process

The conversion process follows these steps:

  1. Divide by 16: Divide the decimal number by 16
  2. Record remainder: The remainder becomes the rightmost hex digit
  3. Use quotient: Use the quotient for the next division
  4. Repeat: Continue until the quotient becomes 0
  5. Read backwards: The hex digits are read from bottom to top

Example Conversion: 255 to Hex

Let's convert the decimal number 255 to hexadecimal:

  1. 255 ÷ 16 = 15 remainder 15 (F)
  2. 15 ÷ 16 = 0 remainder 15 (F)
  3. Read remainders backwards: FF
  4. Result: 255₁₀ = FF₁₆

Hexadecimal Digit Values

Understanding the relationship between decimal and hex digits:

  • 0-9: Same as decimal (0=0, 1=1, ..., 9=9)
  • A: 10 in decimal
  • B: 11 in decimal
  • C: 12 in decimal
  • D: 13 in decimal
  • E: 14 in decimal
  • F: 15 in decimal

Common Use Cases

Decimal to hexadecimal conversion is essential in many fields:

Programming and Software Development

  • Memory Addresses: Converting decimal addresses to hex for debugging
  • Color Codes: Creating RGB color values for web development
  • Bit Manipulation: Working with bitwise operations and flags
  • Error Codes: Converting decimal error codes to hex format
  • Assembly Language: Converting decimal values to hex opcodes

Digital Systems and Hardware

  • Microcontrollers: Programming embedded systems with hex values
  • Network Configuration: Setting up MAC addresses and configurations
  • Digital Forensics: Converting decimal data to hex for analysis
  • 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 Decimal to Hex Conversion

Here are helpful tips for working with decimal to hexadecimal conversions:

  1. Learn the hex digits: Memorize that A=10, B=11, C=12, D=13, E=14, F=15
  2. Practice powers of 16: 16¹=16, 16²=256, 16³=4096, 16⁴=65536
  3. Use the division method: Repeatedly divide by 16 and collect remainders
  4. Check your work: Convert back to decimal to verify the result
  5. Understand patterns: Powers of 2 have simple hex representations
  6. Use tools for large numbers: For numbers beyond manual calculation

Common Decimal to Hex Values

  • 10: A
  • 15: F (maximum single hex digit)
  • 16: 10 (base value)
  • 255: FF (maximum byte value)
  • 256: 100 (one more than maximum byte)
  • 1024: 400 (common power of 2)
  • 65535: FFFF (maximum 16-bit value)
  • 4294967295: FFFFFFFF (maximum 32-bit value)

Verification Methods

To verify your decimal to hex conversion:

  • Reverse conversion: Convert the hex result back to decimal
  • Calculator check: Use a scientific calculator with hex mode
  • Online tools: Cross-reference with reliable conversion tools
  • Binary check: Convert to binary and verify the pattern

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