Hex to Decimal Calculator
Enter a hexadecimal value (for example FF, 0x1A3, or -2B) and click convert.
If you work with programming, networking, color codes, or digital systems, you’ll see hexadecimal values everywhere. This calculator gives you a fast and accurate way to convert hex to decimal, including large values.
What Is Hexadecimal?
Hexadecimal (or “hex”) is a base-16 number system. Unlike decimal (base-10), which uses digits 0 through 9, hexadecimal uses:
- 0–9 for values zero through nine
- A–F for values ten through fifteen
That means each position in a hex number represents a power of 16, similar to how decimal positions represent powers of 10.
How Hex to Decimal Conversion Works
Step-by-step method
To convert a hexadecimal number to decimal:
- Read digits from right to left.
- Multiply each digit by
16^position. - Add all results together.
Example: Convert 2F to decimal
F= 15 at position 0 →15 × 16^0 = 152= 2 at position 1 →2 × 16^1 = 32- Total:
15 + 32 = 47
So 2F in hex is 47 in decimal.
Common Hex to Decimal Values
A= 10F= 1510= 161A= 2664= 100FF= 255100= 2567FFFFFFF= 2147483647
Where This Conversion Is Useful
1) Programming and debugging
Memory addresses, bit masks, machine data, and binary dumps are often shown in hexadecimal for readability.
2) Web design and color values
HTML/CSS colors use hex notation (like #FF5733). Converting parts of a hex color to decimal can help when tuning RGB channels.
3) Networking and systems work
MAC addresses, packet data, and low-level protocol analysis commonly involve hexadecimal bytes.
Input Rules in This Calculator
- Accepts uppercase or lowercase letters (
a-forA-F). - Optional prefix
0xis supported. - Optional leading sign (
-or+) is supported. - Very large values are supported via BigInt math.
Troubleshooting
“Invalid characters” message
Make sure your input includes only valid hex symbols: 0-9, A-F, and optional prefix/sign.
Unexpected result
Double-check whether your value is actually decimal instead of hex. For example, 100 in hex equals 256 in decimal.
Final Thoughts
A reliable hex to dec calculator saves time and prevents mistakes, especially when switching between human-friendly and machine-friendly number formats. Use the tool above whenever you need instant conversion from hexadecimal to decimal with clean formatting and error checks.