Table of Contents
Conversion Process
To convert a decimal number to hexadecimal (hex), follow these steps:
- Divide the decimal number by 16.
- Note down the remainder as a hexadecimal digit.
- Use the quotient obtained in the previous step and repeat steps 1 and 2 until the quotient becomes 0.
- The hexadecimal equivalent is the sequence of remainders obtained in reverse order.
Solved Examples
Example 1 – Convert 756210 to hex
| Division by 16 |
Quotient | Remainder (decimal) |
Remainder (hex) |
Digit # |
| 7562/16 | 472 | 10 | A | 0 |
| 472/16 | 29 | 8 | 8 | 1 |
| 29/16 | 1 | 13 | D | 2 |
| 1/16 | 0 | 1 | 1 | 3 |
So, 756210 = 1D8A16
Example 2 – Convert 3563110 to hex
| Division by 16 |
Quotient | Remainder (decimal) |
Remainder (hex) |
Digit # |
| 35631/16 | 2226 | 15 | F | 0 |
| 2226/16 | 139 | 2 | 2 | 1 |
| 139/16 | 8 | 12 | B | 2 |
| 8/16 | 0 | 8 | 8 | 3 |
So, 3563110 = 8B2F16
FAQs on decimal to hex
How to convert decimal to hexadecimal in a scientific calculator?
Most scientific calculators have a dedicated mode for hexadecimal conversion. Look for a Hex mode or a specific button labeled Hex. Enter the decimal value, switch to Hex mode, and the calculator will display the hexadecimal equivalent.
What is the formula for hex to decimal?
The formula to convert a hexadecimal number to decimal is to multiply each digit of the hexadecimal number by 16 raised to the power of its position (0-based from right to left) and then summing up these products. For example, the hexadecimal number 1A can be converted to decimal as follows: 1 * 16^1 + 10 * 16^0 = 26
What is the trick to convert hex to decimal?
To convert hex to decimal, you can use the formula mentioned in Q4 or you can use a table that maps hex digits to their decimal equivalents. Multiply each hex digit by the corresponding value from the table and then add them up.
How do you convert to hex value?
To convert a decimal value to a hexadecimal value, divide the decimal number by 16 repeatedly, noting down the remainders at each step. The sequence of remainders, read in reverse order, forms the hexadecimal representation.
How is hex calculated?
Hexadecimal is a base-16 number system. Each digit in a hexadecimal number represents a power of 16. To calculate the decimal equivalent of a hex number, multiply each hex digit by 16 raised to the power of its position and then sum the products. The leftmost digit has a position of 0, and the positions increase as you move to the right.
