Decimal to Hexadecimal Converter [2025]

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Convert decimal numbers to hexadecimal (base-16) format with instant results and step-by-step explanations. Essential for programming, color codes, and memory addresses.

✓ Instant Conversion✓ Case Options✓ Step-by-Step Process

Key Features

  • Convert decimal numbers to hexadecimal format with real-time updates
  • Toggle between uppercase and lowercase letters (A-F vs a-f)
  • View detailed step-by-step conversion process
  • Copy results to clipboard with a single click
  • Automatic input validation to prevent errors
  • Clear error messages for invalid inputs
  • Responsive design works on all devices
  • Support for large numbers (within JavaScript's safe integer range)

Common Use Cases

Programming

  • • Memory addresses
  • • Color codes
  • • Byte values
  • • Debug output

Web Development

  • • RGB colors
  • • Unicode values
  • • CSS colors
  • • ASCII codes

System Design

  • • Memory dumps
  • • Hardware interfaces
  • • Data analysis
  • • Error codes

Frequently Asked Questions

What is hexadecimal?

Hexadecimal (base-16) is a number system that uses 16 distinct symbols: the numbers 0-9 and letters A-F (or a-f). It's widely used in computing because each hexadecimal digit represents exactly four binary digits, making it convenient for representing binary data in a more compact form.

Why use hexadecimal?

Hexadecimal is commonly used in programming for several reasons: it's more compact than binary, it's easy to convert to and from binary, and it's used extensively in color codes, memory addresses, and other computer-related applications where bytes need to be represented in a human-readable format.

Does case matter in hexadecimal?

No, the case of letters A-F doesn't affect the value. Both uppercase (A-F) and lowercase (a-f) represent the same values. The choice between them is usually a matter of convention or personal preference. Our tool provides an option to switch between cases for flexibility.

How do I read hexadecimal numbers?

Each position in a hexadecimal number represents a power of 16. The digits 0-9 represent their decimal values, while A=10, B=11, C=12, D=13, E=14, and F=15. For example, the hexadecimal number 1A equals 26 in decimal (1×16 + 10×1).

Technical Details

Understanding Decimal to Hex Conversion

The conversion process follows these steps:

  1. Divide the decimal number by 16
    • Record the remainder (0-15)
    • Convert remainder to hex digit (0-9, A-F)
    • Take the quotient for the next step
    • Repeat until quotient becomes 0
  2. Combine remainders in reverse order

Example conversion of decimal 250:

  • 250 ÷ 16 = 15 remainder 10 (A)
  • 15 ÷ 16 = 0 remainder 15 (F)
  • Combining remainders: FA (hex)

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