You can easily perform hexadecimal operations using our tool. Just follow these steps:
- Enter the first hexadecimal number into the first field.
- Select the desired operation (addition, subtraction, multiplication, or division).
- Enter the second hexadecimal number.
- Finally, click on "Calculate".
If you want to learn how to manually perform hexadecimal operations, continue reading this article.
Converting Hexadecimal to Decimal and Vice Versa
The hexadecimal system is a positional numeral system with base 16.
To represent each digit, up to 16 different symbols are used. These symbols consist of the traditional decimal system digits (0 to 9) and the first six letters of the alphabet (A, B, C, D, E, F).
For conversion, it is advisable to use the following hexadecimal table:
| Decimal | Hexadecimal | Binary |
0 | 0 | 0 |
1 | 1 | 1 |
2 | 2 | 10 |
3 | 3 | 11 |
4 | 4 | 100 |
5 | 5 | 101 |
6 | 6 | 110 |
7 | 7 | 111 |
8 | 8 | 1000 |
9 | 9 | 1001 |
10 | A | 1010 |
11 | B | 1011 |
12 | C | 1100 |
13 | D | 1101 |
14 | E | 1110 |
15 | F | 1111 |
16 | 10 | 10000 |
17 | 11 | 10001 |
18 | 12 | 10010 |
19 | 13 | 10011 |
20 | 14 | 10100 |
21 | 15 | 10101 |
22 | 16 | 10110 |
23 | 17 | 10111 |
24 | 18 | 11000 |
25 | 19 | 11001 |
26 | 1A | 11010 |
27 | 1B | 11011 |
28 | 1C | 11100 |
29 | 1D | 11101 |
30 | 1E | 11110 |
31 | 1F | 11111 |
To convert from hexadecimal to decimal, use the following formula:
Decimal Number = (Number of Digits - 1) * 16 ^ n + (Digit * 16 ^ (n - 1)) + ... + (Digit * 16 ^ 0)
To convert from decimal to hexadecimal, use the reverse operation. Start by dividing the decimal number by 16. The remainders, starting from the last one, are your hexadecimal digits.
Arithmetic Operations in Hexadecimal
The arithmetic operations (addition, subtraction, multiplication, and division) in hexadecimal numbers are similar to those in the decimal system, but a hexadecimal table is used to represent the results.
Note that hexadecimal numbers in addition and subtraction can be treated like decimal numbers by converting them to decimal, performing the operation, and then converting the result back to hexadecimal.
