To use this online Hex to Decimal Converter, enter a hexadecimal value (for example, 2A) in the input field and click the Convert button. This tool allows you to convert up to 16 hexadecimal characters (maximum value: 7FFFFFFFFFFFFFFF) and instantly displays the result in decimal format.
Hexadecimal to Decimal Converter
How to Calculate Hexadecimal to Decimal
Hexadecimal (base-16) and decimal (base-10) are different number systems used in computing and mathematics. To convert between them, you need to understand the positional value of each digit.
Here are the steps to convert hex to decimal:
- Identify each hex digit and its decimal equivalent from the conversion table
- Multiply each digit by 16 raised to the power of its position (starting from 0 on the right)
- Sum all the resulting values
Example: Converting 7DE from hex to decimal
7DE = (7 × 16²) + (13 × 16¹) + (14 × 16⁰)
7DE = (7 × 256) + (13 × 16) + (14 × 1)
7DE = 1792 + 208 + 14
7DE = 2014 (in decimal)
Understanding the Hexadecimal System
The hexadecimal system uses 16 as its base, making it particularly useful in computing. It employs 16 distinct symbols:
- The numbers 0 through 9 (representing values 0-9)
- The letters A through F (representing values 10-15)
Hex is widely used because it provides a more human-friendly representation of binary-coded values. Each hex digit represents exactly four binary digits (bits), making it easier to read and write large binary numbers.
Common applications of hexadecimal:
- Memory addresses in computer systems
- Color codes in web design (e.g., #FFFFFF for white)
- Error codes and debugging information
- Machine code and assembly language programming
Understanding the Decimal System
The decimal system is the most familiar number system, using 10 as its base. It employs ten symbols (0-9) and uses positional notation where each position represents a power of 10.
Example: The number 2345.67 in decimal
2 × 10³ + 3 × 10² + 4 × 10¹ + 5 × 10⁰ + 6 × 10⁻¹ + 7 × 10⁻²
2000 + 300 + 40 + 5 + 0.6 + 0.07 = 2345.67
Hexadecimal to Decimal Conversion Chart
This quick reference chart shows common hexadecimal values and their decimal equivalents:
| Hexadecimal | Decimal | Hexadecimal | Decimal |
|---|---|---|---|
| 0 | 0 | 10 | 16 |
| 1 | 1 | 20 | 32 |
| 2 | 2 | 30 | 48 |
| 3 | 3 | 40 | 64 |
| 4 | 4 | 50 | 80 |
| 5 | 5 | 60 | 96 |
| 6 | 6 | 70 | 112 |
| 7 | 7 | 80 | 128 |
| 8 | 8 | 90 | 144 |
| 9 | 9 | A0 | 160 |
| A | 10 | B0 | 176 |
| B | 11 | C0 | 192 |
| C | 12 | D0 | 208 |
| D | 13 | E0 | 224 |
| E | 14 | F0 | 240 |
| F | 15 | FF | 255 |
Quick conversion tips:
- To convert from hex to decimal, multiply each digit by 16^position and sum
- To convert from decimal to hex, repeatedly divide by 16 and record remainders
- Remember that hex A-F represent decimal values 10-15
- One byte (8 bits) is represented by two hex digits (00-FF)
FaQs
Q1. What is a Hexadecimal to Decimal Converter?
A Hexadecimal to Decimal Converter is an online tool that converts hexadecimal (base-16) numbers into decimal (base-10) values quickly and accurately.
How do I use the Hex to Decimal Converter?
Enter a hexadecimal number (such as 1E or 2A) into the input field and click the Convert button. The decimal result will appear instantly.
What characters are allowed in a hexadecimal number?
Hexadecimal numbers use 0–9 and A–F (or a–f), where A = 10 and F = 15.
How many digits can I convert using this Hexadecimal to Decimal Converter?
You can convert up to 16 hexadecimal characters, with a maximum supported value of 7FFFFFFFFFFFFFFF.
Does the Hexadecimal to Decimal Converter support lowercase letters?
Yes, this converter supports both uppercase and lowercase hexadecimal characters.