Computer Science
Convert the following to their binary equivalent:
(277.27)10
Number System
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Answer
Converting integral part
| 2 | Quotient | Remainder |
|---|---|---|
| 2 | 277 | 1 |
| 2 | 138 | 0 |
| 2 | 69 | 1 |
| 2 | 34 | 0 |
| 2 | 17 | 1 |
| 2 | 8 | 0 |
| 2 | 4 | 0 |
| 2 | 2 | 0 |
| 2 | 1 | 1 |
| 0 |
Converting fractional part
| Multiply | = | Resultant | Carry |
|---|---|---|---|
| 0.27 x 2 | = | 0.54 | 0 |
| 0.54 x 2 | = | 0.08 | 1 |
| 0.08 x 2 | = | 0.16 | 0 |
| 0.16 x 2 | = | 0.32 | 0 |
Therefore, (277.27)10 = (100010101.0100)2
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