Hex Calculator
Perform hexadecimal calculations and convert between hex, decimal, and binary number systems
Hexadecimal Calculation—Add, Subtract, Multiply, or Divide
Convert Hexadecimal Value to Decimal Value
Convert Decimal Value to Hexadecimal Value
Hex/Decimal/Binary Conversion Table
Hex | Binary | Decimal |
---|---|---|
0 | 0 | 0 |
1 | 1 | 1 |
2 | 10 | 2 |
3 | 11 | 3 |
4 | 100 | 4 |
5 | 101 | 5 |
6 | 110 | 6 |
7 | 111 | 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 |
14 | 10100 | 20 |
3F | 111111 | 63 |
Understanding the Hexadecimal Number System
The hexadecimal number system (hex) functions virtually identically to the decimal and binary systems. Instead of using a base of 10 or 2 respectively, it uses a base of 16. Hex uses 16 digits including 0-9, just as the decimal system does, but also uses the letters A, B, C, D, E, and F (equivalent to a, b, c, d, e, f) to represent the numbers 10-15. Every hex digit represents 4 binary digits, called nibbles, which makes representing large binary numbers simpler. For example, the binary value of 1010101010 can be represented as 2AA in hex. This helps computers to compress large binary values in a manner that can be easily converted between the two systems.