24 lines
895 B
Markdown
24 lines
895 B
Markdown
## Convert numbers to binary
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Number in decimal: 53.7
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### Decimal conversion
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| Calculation | Remainder/Binary |
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| ----------- | ---------------- |
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| 53 / 2 = 26 | 1 |
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| 26 / 2 = 13 | 0 |
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| 13 / 2 = 6 | 1 |
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| 6 / 2 = 3 | 0 |
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| 3 / 2 = 1 | 1 |
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| 1 / 2 = 0 | 1 |
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So in binary 110101, as the order is in reverse of the decimals
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### Fraction Conversion
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| Calculation | Non Decimal Portion/Binary |
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| ------------- | -------------------------- |
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| 0.7 x 2 = 1.4 | 1 |
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| 0.4 x 2 = 0.8 | 0 |
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| 0.8 x 2 = 1.6 | 1 |
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| 0.6 x 2 = 1.2 | 1 |
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| 0.2 x 2 = 0.4 | 0 |
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And so on.. so the fraction would be .10110, with 0110 repeating infinitely
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So the final number would be 110101.10110... |