Decimal to Binary conversion
How to convert decimal to binary
Conversion steps:
1. Divide the number by 2.
2. Get the integer quotient for the next iteration.
3. Get the remainder for the binary digit.
4. Repeat the steps until the quotient is equal to 0.
Example:1
Convert decimal (25) to binary:
Convert (25)10 to (n)2
| Division By 2 | Quotient | Remainder |
| 25/2 | 12 | 1 |
| 12/2 | 6 | 0 |
| 6/2 | 3 | 0 |
| 3/2 | 1 | 1 |
| 1/2 | 0 | 1 |
So , we have
(25)10 = (11001)2
Example:2
Convert decimal (13) to binary:
Convert (13)10 to (n)2
| Division by 2 |
Quotient | Remainder |
| 13/2 | 6 | 1 |
| 6/2 | 3 | 0 |
| 3/2 | 1 | 1 |
| 1/2 | 0 | 1 |
So , we have
(13)10 = (1101)2
Example:3
Convert decimal (19) to binary:
Convert (19)10 to (n)2
| Division By 2 | Quotient | Remainder |
| 19/2 | 9 | 1 |
| 9/2 | 4 | 1 |
| 4/2 | 2 | 0 |
| 2/2 | 1 | 0 |
| 1/2 | 0 | 1 |
So , we have
(19)10 = (10011)2
