Hexadecimal to Binary
Related Conversion Tool: Binary to Hex Converter
Instantly Convert Hexadecimal to Binary
Use this free Hex to Binary Converter to instantly transform any hexadecimal number into its binary equivalent. This online tool supports real-time conversion, making it ideal for students, programmers, and digital electronics professionals who need accurate base-16 to base-2 conversions. Also, this tool is a part of our hexadecimal calculator hub where you can find relevant hex conversion tool.
What Is a Hexadecimal Number?
A hexadecimal (base-16) number uses sixteen distinct symbols: 0-9 and A-F, where A=10, B=11, …, F=15. It is commonly used in computing, memory addressing, color representation (e.g., #FF00FF), and digital systems.
What Is a Binary Number?
Binary (base-2) is the foundational number system of all modern computing. It only uses two digits: 0 and 1. Each binary digit represents a power of 2, making it ideal for logic gates and machine-level processing.
Hex to Binary Formula
To convert from hexadecimal to binary, use this simple formula:
- Convert each hex digit to its 4-bit binary representation.
- Combine all binary groups to get the final binary number.
Example:
Hex: 2F → Binary: 0010 1111
Hexadecimal to Binary Example
Convert Hex 3A to Binary:
3 = 0011A = 1010
Binary result = 00111010
Hex to Binary Table
| Hexadecimal | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| A | 1010 |
| B | 1011 |
| C | 1100 |
| D | 1101 |
| E | 1110 |
| F | 1111 |
| 10 | 00010000 |
| 1F | 00011111 |
| FF | 11111111 |
You can also see this table in the hex to binary image.
How to Convert Hex to Binary?
You can use the below infographic to learn hex to binary conversion step by step:
How to Convert Hex to Binary in Python?
If you’re a developer, you can use Python to convert hexadecimal to binary effortlessly:
hex_num = "1A3"
binary = bin(int(hex_num, 16))[2:]
print(binary) # Output: 110100011Use Cases of Hex to Binary Conversion
- Low-level programming: Understanding machine instructions and memory layouts
- Digital electronics: Logic circuit design and analysis
- Network protocols: IP headers and hex-dump interpretation
- Hex to binary file manipulation: Useful when working with raw binary or firmware dumps
Related Tools and Converters
FAQs – Hex to Binary Conversion
Is there a limit to how large a hex number I can convert?
No, you can convert any size hexadecimal value. Our tool handles large values efficiently.
Why is each hex digit represented by 4 binary digits?
Because 16 (hex base) = 2⁴, each hex digit translates directly to a 4-bit binary number.
Can I use this tool offline?
You can bookmark the page or use browser-based caching. For development, see our Python version: Hex to Binary in Python.