Decimal to Hexadecimal Converter

The hexadecimal number system is a base-16 numeral system, meaning it uses 16 distinct symbols to represent values. These symbols are the digits 0-9 to represent values 0 to 9, and the letters A-F (or a-f) to represent values 10 to 15. Hexadecimal is commonly used in computing because it provides a more human-friendly way to represent binary-coded values, where each hexadecimal digit represents exactly four binary digits (bits).

Converting decimal to hexadecimal is useful in many computing and engineering applications. For example:

• In web development, colors are often specified using hexadecimal codes (e.g., #FF5733)
• Memory addresses in computer systems are typically represented in hexadecimal
• Hexadecimal provides a more compact and readable way to represent large binary numbers
• Many programming languages use hexadecimal notation for certain operations
• System administrators often encounter hexadecimal values in logs and debugging info

To manually convert decimal to hexadecimal:

1. Divide the decimal number by 16
2. Record the remainder (0-15)
3. Convert remainders greater than 9 to letters (10=A, 11=B, etc.)
4. Repeat steps 1-3 with the quotient until the quotient becomes 0
5. Write the remainders in reverse order to get the hexadecimal equivalent

For example, to convert decimal 255 to hexadecimal:

255 ÷ 16 = 15 with remainder 15 (F)
15 ÷ 16 = 0 with remainder 15 (F)

So, decimal 255 = hexadecimal FF

Our decimal to hexadecimal converter can handle JavaScript’s maximum safe integer value, which is 9,007,199,254,740,991 (2^53 – 1). For larger numbers, the tool will use JavaScript’s BigInt functionality to ensure accurate conversion. However, for extremely large numbers (hundreds of digits), performance may be affected.

Yes! Our tool is bidirectional and supports both decimal to hexadecimal and hexadecimal to decimal conversions. Simply use the toggle buttons at the top of the converter to switch between conversion modes. The conversion process is just as fast and accurate in both directions.

While our decimal to hexadecimal converter is designed to be highly efficient, there are a few limitations to be aware of:

• For very large numbers, the browser might use scientific notation, which could affect display (but not calculation accuracy)
• The tool requires JavaScript to be enabled in your browser
• The converter works with integer values only, not floating-point numbers
• Extremely large inputs might lead to slight performance delays, but results will still be accurate