Good morning friends,
Today we are going to learn how to change decimal numbers to binary numbers using some basic operations.
Conversion steps:
- Divide the number by 2.
- 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.
Q1. Convert 1510 to binary:.
| Division by 2 | Quotient | Remainder | Bit # |
|---|---|---|---|
| 15/2 | 7 | 1 | 0 |
| 7/2 | 3 | 1 | 1 |
| 3/2 | 1 | 1 | 2 |
| 1/2 | 0 | 1 | 3 |
1510 = 11112
#Example 2
Q2. Convert 17410 to binary:
| Division by 2 | Quotient | Remainder | Bit # |
|---|---|---|---|
| 174/2 | 87 | 0 | 0 |
| 87/2 | 43 | 1 | 1 |
| 43/2 | 21 | 1 | 2 |
| 21/2 | 10 | 1 | 3 |
| 10/2 | 5 | 0 | 4 |
| 5/2 | 2 | 1 | 5 |
| 2/2 | 1 | 0 | 6 |
| 1/2 | 0 | 1 | 7 |
So 17410 = 101011102
I hope you have understood that how to change decimal to binary.