Hex Encoder / Decoder
About Decimal ↔ Hex
The Decimal to Hexadecimal Converter converts Base-10 integers into Base-16 hexadecimal codes and vice versa with step-by-step successive division breakdowns, binary bit patterns, and 0x prefix formatting.
How to Use Decimal ↔ Hex
Step 1
Enter a decimal integer or hex code.
Step 2
The converted value updates reactively in real time.
Step 3
Inspect the step-by-step calculation table below.
Step 4
Copy the resulting hex or decimal number.
Practical Use Cases for Decimal ↔ Hex
Embedded Firmware & Memory Address Calculation
Convert memory offsets, buffer sizes, and hardware register configurations between decimal and hexadecimal.
Web Design & Color Code Math
Convert decimal RGB values (0–255) into 2-digit hex color components for CSS styling.
Input & Output Examples
Converting Decimal 255 to Hexadecimal
Decimal: 255
Hexadecimal: 0xFF | Binary: 11111111 | Step-by-Step: 255 / 16 = 15 R 15 (F) -> FF
Key Features & Performance
- ✓Bidirectional conversion: Decimal to Hex and Hex to Decimal.
- ✓Step-by-step mathematical division-by-16 solution breakdown.
- ✓Calculates simultaneous Binary (Base-2) and Octal (Base-8) values.
- ✓Configurable 0x prefix and UPPERCASE/lowercase toggle.
- ✓100% Client-Side calculation.
- ✓1-Click Copy result.
Key Terminology & Definitions
Hexadecimal Digits
The 16 symbols used in Base-16: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A(10), B(11), C(12), D(13), E(14), F(15).
Successive Division Algorithm
The standard mathematical procedure of repeatedly dividing a decimal number by 16 and recording remainders from bottom to top to find its hex representation.