Hex to Decimal Converter
Convert hexadecimal numbers to decimal format instantly. Enter any hex number and get decimal, binary, and octal results.
Enter hex digits 0-9, A-F (without 0x prefix)
What is Hex to Decimal Conversion?
Hex to decimal conversion is the process of converting base-16 numbers (hexadecimal) to base-10 numbers (decimal). Hexadecimal uses digits 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15), while decimal uses only 0-9. This conversion is crucial when working with color codes, memory addresses, and computer data representation.
For example, hexadecimal FF equals decimal 255. The conversion works by multiplying each hex digit by its positional value (powers of 16): F×16¹ + F×16⁰ = 15×16 + 15×1 = 240 + 15 = 255. Hexadecimal is widely used in programming because it provides a compact way to represent binary data—each hex digit represents exactly 4 binary bits.
Our free hex to decimal converter makes this conversion instant and accurate. Simply enter any hexadecimal number and get the decimal equivalent immediately, along with binary and octal representations. For the reverse operation, use our Decimal to Hex Converter tool.
How to Convert Hex to Decimal Manually
Understanding the manual conversion process using positional notation:
Positional Notation Method:
- Step 1: Write down the hex number
- Step 2: Assign positions from right to left (starting at 0)
- Step 3: Convert hex digits to decimal (A=10, B=11, C=12, D=13, E=14, F=15)
- Step 4: Multiply each digit by 16^position
- Step 5: Add all the results together
Example: Convert 1A3 to Decimal
Step 1: Identify positions (right to left) Position: 2 1 0 Hex digit: 1 A 3 Step 2: Convert hex to decimal 1 = 1 (decimal) A = 10 (decimal) 3 = 3 (decimal) Step 3: Calculate positional values Position 2: 1 × 16² = 1 × 256 = 256 Position 1: A × 16¹ = 10 × 16 = 160 Position 0: 3 × 16⁰ = 3 × 1 = 3 Step 4: Add all values 256 + 160 + 3 = 419 Result: 1A3₁₆ = 419₁₀ ✓
Remember that each position represents a power of 16, starting from 16⁰ on the right. For other conversions, check our Hex to Binary Converter or Binary to Decimal Converter.
Hex to Decimal Conversion Table
This reference table shows common hexadecimal values and their decimal equivalents:
| Hexadecimal | Decimal | Common Use |
|---|---|---|
| 0 | 0 | Minimum value |
| F | 15 | Single digit max |
| 10 | 16 | Base value |
| FF | 255 | Max byte (8-bit) |
| 100 | 256 | 1 byte + 1 |
| FFF | 4095 | 12-bit color max |
| FFFF | 65535 | Max 16-bit value |
| FFFFFF | 16777215 | White color |
| FF0000 | 16711680 | Pure red |
| 00FF00 | 65280 | Pure green |
Pro Tip: Hex color codes like #FF5733 can be converted to RGB by converting each 2-digit hex pair: FF=255, 57=87, 33=51.
Why Convert Hex to Decimal?
Hex to decimal conversion is essential in various computing and development scenarios:
🎨 Color Code Conversion
Convert hex color codes (#FF5733) to RGB decimal values (255, 87, 51) for CSS, graphics software, and design tools.
💾 Memory Analysis
Convert memory addresses from hex (0x400) to decimal (1024) for size calculations and debugging.
🔐 Data Decoding
Decode hexadecimal data dumps, hash values, and encrypted data into readable decimal numbers.
📊 Network Analysis
Convert MAC addresses, IPv6 addresses, and packet data from hex to decimal format.
🖥️ Programming
Understanding hex literals (0xFF) in code by converting to decimal (255) for calculations.
🐛 Debugging
Convert hex error codes, register values, and memory dumps to decimal for analysis.
For working with other number systems, try our Octal to Decimal Converter tool.
Common Hex to Decimal Examples
Here are practical hex to decimal conversion examples:
🎨 Color Code: #FF5733
FF = 255, 57 = 87, 33 = 51 → rgb(255, 87, 51)
Vibrant orange-red color
💾 Memory Address: 0x400
400₁₆ = 1024₁₀ (1 KB)
📡 MAC Address Part: C0
C0₁₆ = 192₁₀ (common in networking)
🔐 Hash Digest: 7E9
7E9₁₆ = 2025₁₀
⚪ White: #FFFFFF
FFFFFF₁₆ = 16777215₁₀ → rgb(255, 255, 255)
Benefits of Using Our Online Converter
ProURLMonitor's free hex to decimal converter offers multiple advantages:
- ✓Instant Conversion: Convert any hexadecimal number to decimal in milliseconds.
- ✓Multiple Formats: Get decimal, binary, and octal results simultaneously.
- ✓Step-by-Step Breakdown: See the positional notation calculation in detail.
- ✓Input Validation: Automatically checks for valid hex digits (0-9, A-F).
- ✓Perfect for Colors: Quickly convert hex color codes to RGB decimal values.
- ✓100% Free: No registration, downloads, or hidden costs.
- ✓Mobile Friendly: Works seamlessly on all devices.
Related Binary Conversion Tools
Explore our complete suite of binary and number system converters:
🔄 Decimal to Hex Converter
Convert decimal numbers to hexadecimal format—the reverse of this tool.
🔷 Hex to Binary Converter
Convert hexadecimal to binary format for low-level operations.
📊 Binary to Hex Converter
Convert binary numbers to hexadecimal format.
🔢 Binary to Decimal Converter
Convert binary to decimal—essential for understanding binary numbers.
🧮 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 FF to decimal?
A: F×16¹ + F×16⁰ = 15×16 + 15×1 = 240 + 15 = 255. Each F equals 15 in decimal.
Q: What is hex A in decimal?
A: Hex A equals decimal 10. The hex digits A-F represent decimal values 10-15 respectively.
Q: How to convert hex color codes to RGB?
A: Split the 6-digit code into three 2-digit pairs. Convert each pair separately: #FF5733 → FF=255, 57=87, 33=51 → rgb(255,87,51).
Q: Is hex 100 equal to decimal 100?
A: No, hex 100 equals decimal 256. Calculate: 1×16² + 0×16¹ + 0×16⁰ = 256 + 0 + 0 = 256.
Q: What's the decimal value of FFFF?
A: Hex FFFF equals decimal 65535, which is the maximum value for a 16-bit unsigned integer.
Q: Do I need to include 0x prefix?
A: No, our converter works without the 0x prefix. Just enter the hex digits directly (e.g., FF instead of 0xFF).
Q: Are lowercase hex letters valid?
A: Yes, hex is case-insensitive. Our converter automatically converts to uppercase for consistency. FF and ff both equal 255.
Q: What's the largest hex value I can convert?
A: You can convert hex numbers up to JavaScript's safe integer limit. This is more than sufficient for all practical applications including color codes and memory addresses.
🚀 Start Converting Hex to Decimal Now!
Use our free hex to decimal converter to convert any hexadecimal number instantly. Perfect for web developers working with color codes, programmers analyzing memory dumps, network engineers decoding MAC addresses, and students learning number systems. Get results in decimal, binary, and octal formats with detailed positional notation breakdown.
No registration required. Unlimited conversions. Completely free forever!
Explore more tools: Decimal to Hex • Binary Calculator • Hex to Binary 🎯