Decimal to Hex Converter

How Decimal-to-Hexadecimal Conversion Works

The Conversion Method

Converting a decimal number to hexadecimal involves repeatedly dividing by 16 and recording the remainders. Each remainder becomes a hex digit. Values 0 through 9 stay as digits, while 10 through 15 become letters A through F. The hex result is read from the last remainder to the first, just like decimal-to-binary conversion uses division by 2.

Step-by-Step Example

To convert decimal 255 to hex: 255 divided by 16 equals 15 remainder 15. Since 15 in hex is F, and the quotient 15 divided by 16 equals 0 remainder 15 (also F), the result is FF. A simpler way to see it: 15 times 16 plus 15 equals 255, so FF equals 255.

Why This Conversion Matters

Hexadecimal is used throughout computing and digital design. Web developers convert decimal RGB color values (like 255, 87, 51) to hex (#FF5733) for CSS styling. System programmers express memory addresses in hex for readability. Network engineers convert decimal IP octets to hex when configuring certain protocols. Understanding this conversion is a fundamental computing skill.

Hex in Programming

Most programming languages support hexadecimal literals with a 0x prefix (for example, 0xFF in JavaScript, C, Python, and Java). Hex is also the standard format for representing binary data as text. The common hex dump displays file contents as rows of hexadecimal values alongside their ASCII interpretation. This converter outputs clean hex values without prefixes, making the result easy to use in any context.

Questions about decimal-to-hex conversion

How is a decimal number converted to hexadecimal?

The value is repeatedly grouped by powers of 16, using digits 0 through 9 and letters A through F for each position.

Why does hexadecimal use letters?

Base 16 needs six digits beyond 0 through 9, so A through F represent values 10 through 15.

Does the output include a 0x prefix?

No. The result contains only the uppercase hexadecimal value, making it easy to reuse where needed.