Free Binary to Hex Converter – Convert Binary to Hexadecimal Online
Convert binary numbers to hexadecimal instantly. See step-by-step 4-bit group conversion. Uppercase or lowercase output. Complete reference table. 100% free, browser-based.
What Is Binary to Hexadecimal Conversion?
Binary to hexadecimal conversion transforms base-2 numbers (using only 0 and 1) into base-16 numbers (using 0-9 and A-F). This conversion is fundamental in computer science, programming, and digital electronics.
Why Convert Binary to Hex?
Hexadecimal is preferred over binary in many contexts because:
- Compact representation: 4 binary digits = 1 hex digit
- Human readability: FFFF is easier to read than 1111111111111111
- Common in programming: Memory addresses, color codes, byte values
How to Use This Tool
Step 1: Enter Binary
Type or paste your binary number (only 0s and 1s).
Step 2: Choose Case
Select uppercase (A-F) or lowercase (a-f) output.
Step 3: View Result
See the hex output and step-by-step conversion.
Step 4: Copy
Click copy to use the result.
Conversion Method Explained
Binary to hex conversion works by grouping binary digits into sets of 4 (starting from the right), then converting each group to its hex equivalent.
Step-by-Step Example
Convert 10101111 to hex:
-
Group into 4-bit chunks (right to left):
1010|1111
-
Convert each group:
1010= 8+2 = 10 = A1111= 8+4+2+1 = 15 = F
-
Result: AF
Binary to Hex Reference Table
| Binary | Decimal | Hex |
|---|---|---|
| 0000 | 0 | 0 |
| 0001 | 1 | 1 |
| 0010 | 2 | 2 |
| 0011 | 3 | 3 |
| 0100 | 4 | 4 |
| 0101 | 5 | 5 |
| 0110 | 6 | 6 |
| 0111 | 7 | 7 |
| 1000 | 8 | 8 |
| 1001 | 9 | 9 |
| 1010 | 10 | A |
| 1011 | 11 | B |
| 1100 | 12 | C |
| 1101 | 13 | D |
| 1110 | 14 | E |
| 1111 | 15 | F |
Common Conversion Examples
| Binary | Hexadecimal | Use Case |
|---|---|---|
| 11111111 | FF | Max byte value |
| 10101010 | AA | Alternating bits pattern |
| 11001100 | CC | Two-bit alternating |
| 11110000 | F0 | High nibble set |
| 00001111 | 0F | Low nibble set |
| 1111111111111111 | FFFF | Max 16-bit value |
Understanding the Math
Each binary position represents a power of 2:
Binary: 1 0 1 0
Position: 2³ 2² 2¹ 2⁰
Value: 8 0 2 0
Sum: 8 + 0 + 2 + 0 = 10 = A in hex
Use Cases
Programming
- Reading memory dumps
- Debugging byte values
- Working with bitwise operations
Web Development
- Converting binary color values to hex colors
- Understanding character encoding
Networking
- Analyzing network packets
- Working with MAC addresses
Digital Electronics
- Reading register values
- Working with microcontrollers
Technical Details
Padding
If the binary length isn't a multiple of 4, leading zeros are added automatically.
Example: 101 becomes 0101 → hex 5
Spaces Allowed
You can include spaces for readability: 1010 1111 works the same as 10101111.
Why 4 Bits = 1 Hex Digit?
- 4 bits can represent values 0-15 (2⁴ = 16 combinations)
- Hexadecimal has exactly 16 symbols (0-9, A-F)
- This 1:4 ratio makes conversion straightforward
Frequently Asked Questions
What if my binary isn't divisible by 4?
The tool automatically pads with leading zeros. 101 becomes 0101.
Does it support spaces?
Yes. Spaces are removed before conversion.
Is there a length limit?
No practical limit. Very long binary strings work fine.
Is my data saved?
No. All processing happens in your browser.