Computer Science
Convert the following decimal numbers to octal:
(a) 19
(b) 122
(c) 161
(d) 0.675
Number System
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Answer
(a) 19
| 8 | Quotient | Remainder |
|---|---|---|
| 8 | 19 | 3 (LSB) |
| 8 | 2 | 2 (MSB) |
| 0 |
Therefore, (19)10 = (23)8
(b) 122
| 8 | Quotient | Remainder |
|---|---|---|
| 8 | 122 | 2 (LSB) |
| 8 | 15 | 7 |
| 8 | 1 | 1 (MSB) |
| 0 |
Therefore, (122)10 = (172)8
(c) 161
| 8 | Quotient | Remainder |
|---|---|---|
| 8 | 161 | 1 (LSB) |
| 8 | 20 | 4 |
| 8 | 2 | 2 (MSB) |
| 0 |
Therefore, (161)10 = (241)8
(d) 0.675
| Multiply | = | Resultant | Carry |
|---|---|---|---|
| 0.675 x 8 | = | 0.4 | 5 |
| 0.4 x 8 | = | 0.2 | 3 |
| 0.2 x 8 | = | 0.6 | 1 |
| 0.6 x 8 | = | 0.8 | 4 |
| 0.8 x 8 | = | 0.4 | 6 |
Therefore, (0.675)10 = (0.53146)8
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