Hex to decimal converter
Hex to decimal converter
To convert a hexadecimal number to a decimal number, follow these steps:
- Assign a decimal value to each hexadecimal digit according to the following table:
| Hexadecimal | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| A | 10 |
| B | 11 |
| C | 12 |
| D | 13 |
| E | 14 |
| F | 15 |
- Multiply each digit by its corresponding value of 16 raised to a power of 0, 1, 2, 3, and so on, depending on its position in the hexadecimal number. The rightmost digit has a power of 0, the next one to the left has a power of 1, and so on. For example, to convert the hexadecimal number 3D to decimal:
3D = (3 x 16^1) + (13 x 16^0) = (3 x 16) + (13 x 1) = 48 + 13 = 61
Therefore, the decimal equivalent of the hexadecimal number 3D is 61.
To convert a hexadecimal number to its decimal equivalent, follow these steps:
- Assign a decimal value to each hexadecimal digit according to its position. The rightmost digit has a position of 0, the next one to the left has a position of 1, and so on. The values for the hexadecimal digits 0 to 9 are the same as their decimal counterparts. The values for the hexadecimal digits A to F are 10 to 15, respectively.
- Multiply each digit by its corresponding power of 16, starting with 16^0 for the rightmost digit and increasing by powers of 16 as you move to the left.
- Add up the products from step 2 to obtain the decimal equivalent.
For example, let’s convert the hexadecimal number “2A” to decimal:
2A = 2 x 16^1 + A x 16^0 = 2 x 16 + 10 x 1 = 32 + 10 = 42
Therefore, the decimal equivalent of the hexadecimal number 2A is 42.