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Isaac Shoebottom
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UNB/Year 5/Semester 1/CS3113/In class notes.md Normal file
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## Convert numbers to binary
Number in decimal: 53.7
### Decimal conversion
| Calculation | Remainder/Binary |
| ----------- | ---------------- |
| 53 / 2 = 26 | 1 |
| 26 / 2 = 13 | 0 |
| 13 / 2 = 6 | 1 |
| 6 / 2 = 3 | 0 |
| 3 / 2 = 1 | 1 |
| 1 / 2 = 0 | 1 |
So in binary 110101, as the order is in reverse of the decimals
### Fraction Conversion
| Calculation | Non Decimal Portion/Binary |
| ------------- | -------------------------- |
| 0.7 x 2 = 1.4 | 1 |
| 0.4 x 2 = 0.8 | 0 |
| 0.8 x 2 = 1.6 | 1 |
| 0.6 x 2 = 1.2 | 1 |
| 0.2 x 2 = 0.4 | 0 |
And so on.. so the fraction would be .10110, with 0110 repeating infinitely
So the final number would be 110101.10110...