Free Decimal to Hex Converter

Decimal to Hex Converter

Free & Instant - Convert decimal numbers (base 10) to hexadecimal (base 16) for web development, programming, and color codes

Decimal to Hexadecimal Converter

Only positive integers allowed

Decimal (Base 10)
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Decimal Number System

Decimal uses digits 0-9 and is the standard number system for everyday mathematics, business calculations, and human-readable numbers.

Hexadecimal (Base 16)
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Hexadecimal Number System

Hexadecimal uses digits 0-9 and letters A-F, providing a compact representation of binary data used extensively in programming and web development.

Why Convert Decimal to Hex?

Web Development

Essential for CSS color codes, HTML color values, and understanding how web browsers process color information in hexadecimal format.

Programming & Debugging

Critical for memory addresses, pointer values, debugging output, and representing binary data in a human-readable format.

Digital Design

Important for graphic design, digital art, and any application requiring precise color specification and manipulation.

System Administration

Used for file permissions, memory dumps, network analysis, and understanding low-level system operations.

How It Works

1. Enter Decimal

Input your decimal number using digits 0-9 in the converter field.

2. Divide by 16

System repeatedly divides by 16 and converts remainders to hex digits (0-9, A-F).

3. Get Hex Result

Copy your hexadecimal result for use in web development or programming.

Frequently Asked Questions

How do I convert decimal to hexadecimal manually?

Divide the decimal number by 16 repeatedly and collect the remainders. Convert remainders 10-15 to A-F. The hex result is the remainders read in reverse order. For example, 255 ÷ 16 = 15 remainder 15(F), 15 ÷ 16 = 0 remainder 15(F), giving hex FF.

Why use hexadecimal in programming?

Hexadecimal is compact and human-readable for representing binary data. It's used for memory addresses, color codes, byte values, and debugging because one hex digit represents exactly 4 binary digits.

What are the hexadecimal digits A-F?

A=10, B=11, C=12, D=13, E=14, F=15. These letters represent values greater than 9 in the base-16 system, allowing hex to use single characters for all values 0-15.

How large can decimal numbers be for conversion?

Our converter handles decimal numbers up to JavaScript's maximum safe integer (about 9 quadrillion), which covers all practical computing applications and memory addressing needs.

Is decimal to hex conversion exact?

Yes, decimal to hexadecimal conversion is mathematically exact with no precision loss. Both systems represent the same integer values, just in different bases (10 vs 16).