Decimal to Hex Converter
Convert decimal numbers to hexadecimal format instantly. Enter any decimal number and get hex, binary, and octal results.
Enter any positive decimal number
What is Decimal to Hex Conversion?
Decimal to hexadecimal conversion is the process of converting base-10 numbers (decimal) to base-16 numbers (hexadecimal). Decimal uses digits 0-9, while hexadecimal uses 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15). This conversion is essential in programming, web design, and computer systems.
For example, decimal 255 equals hexadecimal FF. The conversion works by repeatedly dividing the decimal number by 16 and recording the remainders: 255 ÷ 16 = 15 remainder 15 (F), 15 ÷ 16 = 0 remainder 15 (F), giving FF. Hexadecimal is widely used for color codes (#FF5733), memory addresses, and representing binary data compactly.
Our free decimal to hex converter makes this conversion instant and accurate. Simply enter any decimal number and get the hexadecimal equivalent immediately, along with binary and octal representations. For the reverse operation, use our Hex to Decimal Converter tool.
How to Convert Decimal to Hex Manually
Understanding the manual conversion process using the division method:
Division Method:
- Step 1: Divide the decimal number by 16
- Step 2: Record the remainder (convert to hex if ≥10: A=10, B=11, C=12, D=13, E=14, F=15)
- Step 3: Divide the quotient by 16 and repeat
- Step 4: Continue until quotient is 0
- Step 5: Read all remainders from bottom to top
Example: Convert 254 to Hexadecimal
Step 1: Divide by 16 254 ÷ 16 = 15 remainder 14 (E) Step 2: Continue with quotient 15 ÷ 16 = 0 remainder 15 (F) Step 3: Read remainders bottom to top F E Result: 254₁₀ = FE₁₆ Verification: (F × 16¹) + (E × 16⁰) = (15 × 16) + (14 × 1) = 240 + 14 = 254 ✓
Remember to convert remainders 10-15 to A-F. For other conversions, check our Decimal to Binary Converter or Binary to Hex Converter.
Decimal to Hex Conversion Table
This reference table shows common decimal values and their hexadecimal equivalents:
| Decimal | Hexadecimal | Common Use |
|---|---|---|
| 0 | 0 | Black color |
| 15 | F | Single hex digit max |
| 16 | 10 | Base value |
| 255 | FF | Max byte value |
| 256 | 100 | 1 byte + 1 |
| 4095 | FFF | 12-bit max |
| 16777215 | FFFFFF | White color (RGB) |
| 16711680 | FF0000 | Pure red |
| 65280 | 00FF00 | Pure green |
| 255 | 0000FF | Pure blue |
Pro Tip: Hex color codes combine three hex values (RR GG BB) for red, green, and blue channels.
Why Convert Decimal to Hex?
Decimal to hex conversion is essential in various computing scenarios:
🎨 Web Design Colors
Convert RGB decimal values (255, 128, 64) to hex color codes (#FF8040) for CSS and HTML.
💻 Memory Addresses
Computer memory addresses are displayed in hexadecimal for compact representation.
🔧 Programming
Hex notation (0xFF) is used in code for clarity when working with bytes and bit masks.
📡 Network Protocols
MAC addresses, IP addresses, and packet data use hexadecimal representation.
🔐 Cryptography
Hash values, keys, and encrypted data are typically displayed in hexadecimal.
🐛 Debugging
Memory dumps and low-level debugging use hex for easier reading than binary.
For performing calculations on hex numbers, use our Binary Calculator tool.
Common Decimal to Hex Examples
Here are practical decimal to hex conversion examples:
🎨 RGB Color: rgb(255, 87, 51)
255 = FF, 87 = 57, 51 = 33 → #FF5733
Vibrant orange-red color
💾 Memory Size: 1024 bytes
1024₁₀ = 400₁₆ (1 KB in hex)
🔢 Year 2025
2025₁₀ = 7E9₁₆
📱 IPv4 Address Component: 192
192₁₀ = C0₁₆ (common in 192.168.x.x)
⚪ White Color
16777215₁₀ = FFFFFF₁₆ (rgb(255,255,255))
Benefits of Using Our Online Converter
ProURLMonitor's free decimal to hex converter offers multiple advantages:
- ✓Instant Conversion: Convert any decimal number to hex in milliseconds.
- ✓Multiple Formats: Get hex, binary, and octal results simultaneously.
- ✓Step-by-Step Process: See the division method with remainders.
- ✓Input Validation: Automatically checks for valid decimal numbers.
- ✓Perfect for Colors: Convert RGB values to hex color codes instantly.
- ✓100% Free: No registration, downloads, or hidden costs.
- ✓Mobile Friendly: Works on all devices.
Related Binary Conversion Tools
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📊 Decimal to Binary Converter
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🔷 Binary to Hex Converter
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🔄 Hex to Binary Converter
Convert hexadecimal to binary—perfect for analyzing hex codes.
🧮 Binary Calculator
Perform arithmetic operations on binary numbers.
🔤 Binary Translator
Convert text to binary code and decode binary back to text.
📚 Frequently Asked Questions (FAQs)
Q: How do I convert 255 to hex?
A: 255 ÷ 16 = 15 remainder 15 (F), 15 ÷ 16 = 0 remainder 15 (F). Read bottom to top: FF.
Q: What hex value represents decimal 10?
A: Decimal 10 equals hex A. In hexadecimal: A=10, B=11, C=12, D=13, E=14, F=15.
Q: How to convert RGB colors to hex?
A: Convert each RGB value (0-255) to hex separately. Example: rgb(255,87,51) → FF, 57, 33 → #FF5733.
Q: Why use hex instead of decimal?
A: Hex is more compact than binary and aligns perfectly with bytes (2 hex digits = 1 byte = 8 bits). It's easier for humans to read than binary.
Q: What's the hex value for 1024?
A: Decimal 1024 = Hex 400. This is commonly seen in memory addressing (1 KB = 0x400 bytes).
Q: Can I convert negative numbers?
A: Our converter works with positive numbers. For negative numbers, use two's complement representation with a specified bit width.
Q: Is hex case-sensitive?
A: No, hex is not case-sensitive. FF, ff, Ff, and fF all represent 255. Our converter outputs uppercase for consistency.
Q: What's the maximum decimal value I can convert?
A: You can convert decimal numbers up to JavaScript's safe integer limit (2⁵³ - 1), which is more than sufficient for all practical applications.
🚀 Start Converting Decimal to Hex Now!
Use our free decimal to hex converter to convert any decimal number instantly. Perfect for web developers creating color codes, programmers working with memory addresses, students learning number systems, and anyone needing hexadecimal conversion. Get results in hex, binary, and octal formats with detailed step-by-step breakdown.
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