Binary to HEX Converter
Convert binary (base-2) to hexadecimal (base-16) instantly with our free online converter. Group binary bits into 4-bit nibbles, view the live hex output, and explore the complete 0–F conversion table. Supports reverse hex-to-binary conversion with 100% client-side privacy.
How to Convert Binary (Base-2) to Hexadecimal (Base-16)
Binary numbers (base-2) consist solely of 0s and 1s. While computers operate natively in binary, long binary sequences are difficult for humans to read, communicate, and debug. Hexadecimal (base-16) provides an ideal shorthand representation: because 2⁴ = 16, exactly four binary digits (called a nibble) correspond to one single hexadecimal character (0–9, A–F).
The 4-Bit Nibble Grouping Method
Converting binary to hex manually is straightforward using the 4-bit grouping method:
- Split into 4-bit groups: Start from the rightmost bit (least significant bit) and divide the binary sequence into groups of 4 digits. If the leftmost group has fewer than 4 bits, pad it with leading zeros.
- Convert each group to decimal (0–15): Calculate the value of each 4-bit group (8 + 4 + 2 + 1).
- Map to hex digits: Values 0 through 9 remain digits
0–9. Values 10 through 15 become lettersA, B, C, D, E, F.
Worked Example: Convert 11010110₂ (binary) to Hexadecimal
Step 1: Group into 4-bit nibbles
1101 0110
Step 2: Calculate decimal value of each group
(1×8) + (1×4) + (0×2) + (1×1) = 8 + 4 + 0 + 1 = 13
(0×8) + (1×4) + (1×2) + (0×1) = 0 + 4 + 2 + 0 = 6
Step 3: Map to hexadecimal characters
13 → D
6 → 6
Result: 11010110₂ = D6 in Hexadecimal (0xD6)Binary to Hexadecimal Conversion Table (0–F)
Each hexadecimal digit maps directly to a 4-bit binary nibble:
| Hex Digit | 4-Bit Binary | Decimal Equivalent |
|---|---|---|
| 0 | 0000 | 0 |
| 1 | 0001 | 1 |
| 2 | 0010 | 2 |
| 3 | 0011 | 3 |
| 4 | 0100 | 4 |
| 5 | 0101 | 5 |
| 6 | 0110 | 6 |
| 7 | 0111 | 7 |
| 8 | 1000 | 8 |
| 9 | 1001 | 9 |
| A | 1010 | 10 |
| B | 1011 | 11 |
| C | 1100 | 12 |
| D | 1101 | 13 |
| E | 1110 | 14 |
| F | 1111 | 15 |
Why Developers and Engineers Use Hexadecimal
- Memory Addresses & Debugging: A 32-bit memory address in binary looks like
11001010111111101011101010111110. In hex, this compresses cleanly toCAFEBABE. - CSS & Web Colors: 24-bit RGB colors are stored as binary bytes and written as 6-digit hex codes (e.g.,
#FF0000for pure red). - Network Byte Streams: MAC addresses and packet payloads are rendered in hex (e.g.,
00:1A:2B:3C:4D:5E) for readability.
Need numerical base-10 conversion? Try our Binary to Decimal Converter, or encode English text with the ASCII to Binary Converter.
Frequently Asked Questions
Common questions and answers about the Binary to HEX Converter.
What is the fastest way to convert binary to hex?
The fastest method is 4-bit nibble grouping. Split the binary string into groups of 4 bits starting from the right (pad with leading zeros if needed) and replace each 4-bit chunk with its corresponding hexadecimal digit (0-9, A-F). Our online converter calculates this in real-time as you type.
How does 4-bit nibble grouping work?
Because 2⁴ = 16, every 4-bit binary group maps directly to exactly one hexadecimal digit. For example, 1101 = D (13) and 0110 = 6, so binary 11010110 equals D6 in hexadecimal.
What is 11111111 in hexadecimal?
11111111 in binary equals FF in hexadecimal (and 255 in decimal). It represents an 8-bit byte with all bits set to 1.
Why do hexadecimal numbers use letters (A through F)?
Hexadecimal is a base-16 numeral system. Since standard Arabic numerals only go from 0 to 9, letters A, B, C, D, E, and F represent values 10, 11, 12, 13, 14, and 15 respectively.
Can I convert hexadecimal back to binary?
Yes! Enter any hex value (0-9, A-F) in the Hex input field and the tool instantly translates each hex character back into its 4-bit binary representation.
Is this binary to hex converter free and private?
Yes, it is 100% free with no sign-up or software installation required. All conversions process locally in your web browser, ensuring complete privacy.