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How to Convert Decimal To Binary
Method 1:
- Write down any decimal number.
- Divide the decimal number by 2.
- Write down the integer quotient for the next iteration.
- Write down the remainder for the binary digit.
- Repeat dividing and writing down remainders until the result of the division is 0.
Example: Convert 15 decimal to binary
| Divide by 2 | Quotient | Remainder | Bit Position |
|---|---|---|---|
| 15/2 | 7 | 1 | 0 |
| 7/2 | 3 | 1 | 1 |
| 3/2 | 1 | 1 | 2 |
| 1/2 | 0 | 1 | 3 |
Method 2:
- Look for the greatest power of 2. Choose the biggest number that will fit into the number you are converting. 8 is the greatest power of two that will fit into 15, so write a 1 beneath this box in your chart for the left most binary digit.
Example: Convert 15 decimal to binary
| Decimal | Binary |
|---|---|
| 128 | 0 |
| 64 | 0 |
| 32 | 0 |
| 16 | 0 |
| 8 | 1 |
| 4 | 1 |
| 2 | 1 |
| 1 | 1 |