Binary to Hexadecimal Conversion Calculator
Hexadecimal numbers (base-16) are used in computing and digital systems as a compact way to represent binary values. This tool helps convert binary numbers to their hexadecimal form quickly and easily.
What are Binary Numbers?
Binary numbers use base-2 and consist only of 0s and 1s. Each digit (bit) represents a power of 2. For example, 1011₂ equals 11 in decimal.
What are Hexadecimal Numbers?
Hexadecimal is base-16 and uses digits 0–9 and letters A–F (where A = 10, B = 11, ..., F = 15). It’s commonly used in programming and hardware development.
Examples:
1A₁₆, FF₁₆, 7B₁₆How to Convert Binary to Hexadecimal
The easiest way is to group the binary number into chunks of 4 bits (starting from the right), then convert each group into a hexadecimal digit.
Example: Convert
Group into 4 bits:
1101 = D, 0111 = 7 → Hexadecimal = D7₁₆
11010111₂ to Hex:Group into 4 bits:
1101 01111101 = D, 0111 = 7 → Hexadecimal = D7₁₆
Binary to Hex Table
| Binary | Hexadecimal |
|---|---|
| 0000 | 0 |
| 0001 | 1 |
| 0010 | 2 |
| 0011 | 3 |
| 0100 | 4 |
| 0101 | 5 |
| 0110 | 6 |
| 0111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | A |
| 1011 | B |
| 1100 | C |
| 1101 | D |
| 1110 | E |
| 1111 | F |
Why Hexadecimal?
- It reduces long binary strings into readable chunks
- Used in memory addresses, color codes, and low-level programming
- Easier for humans to interpret and debug than binary