Good morning friends,
Example #2
Today we are going to learn how to change decimal numbers to binary numbers using some basic operations.
Conversion steps:
- Divide the number by 16.
- Get the integer quotient for the next iteration.
- Get the remainder for the binary digit.
- Repeat the steps until the quotient is equal to 0.
Example #1
Convert 756210 to hexadecimal:
| 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 hexadecimal :
| Division by 16 | Quotient | Remainder (decimal) | Remainder (hex) | Digit # |
|---|---|---|---|---|
| 35631/16 | 2226 | 15 | F | 0 |
| 2226/16 | 139 | 2 | 2 | 1 |
| 139/16 | 8 | 11 | B | 2 |
| 8/16 | 0 | 8 | 8 | 3 |
So 3563110 = 8B2F16
I hope you have understood that how to change decimal to binary.
#source -Rapidtables