Base 10 -> Base 2
(.234375)10 = (?)2
| Integer | Remainder | ||
| .234375 X 2 = | 0 (MSB) | .46875 | |
| .46875 X 2 = | 0 | .9375 | |
| .9375 X 2 = | 1 | .875 | |
| .875 X 2 = | 1 | .75 | |
| .75 X 2 = | 1 | .5 | |
| .5 X 2 = | 1 (LSB) | 0 |
Answer: (001111)2
Decimal to Octal Conversion
Base 10 -> Base 8
(.513)10 = (?)8
| Integer | Remainder | |
| .513 X 8 = | 4(MSB) | .104 |
| .104 X 8 = | 0 | .832 |
| .832 X 8 = | 6 | .656 |
| .656 X 8 = | 5 | .248 |
| .248 X 8 = | 1 | .984 |
| .984 X 8 | 7(LSB) | .872 |
Answer: (406517....)8
Decimal to Hexadecimal Conversion
Base 10 -> Base 16
(.257)10 = (?)16
| Integer | Remainder | |
| .257 X 16 = | 4(MSB) | .112 |
| .112 X 16 = | 1 | .792 |
| .792 X 16 = | 12 -> C | .672 |
| .656 X 8 = | 10 -> A(LSB) | .752 |
Answer: (41CA...)16
| To convert a decimal fraction part to any base-r system, multiplication is done by r. |
No comments:
Post a Comment