This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from octal to binary like this:
207.008 = 2 0 7. 0 0 = 2(=010) 0(=000) 7(=111). 0(=000) 0(=000) = 010000111.0000002
answer: 207.008 = 10000111.2
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙82+0∙81+7∙80+0∙8-1+0∙8-2 = 2∙64+0∙8+7∙1+0∙0.125+0∙0.015625 = 128+0+7+0+0 = 135.10
got It: 207.008 =135.10
Translate the number 135.10 в binary like this:
the Integer part of the number is divided by the base of the new number system:
135 | 2 | | | | | | | |
-134 | 67 | 2 | | | | | | |
1 | -66 | 33 | 2 | | | | | |
| 1 | -32 | 16 | 2 | | | | |
| | 1 | -16 | 8 | 2 | | | |
| | | 0 | -8 | 4 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | *2 |
the result of the conversion was:
135.10 = 10000111.2
answer: 207.008 = 10000111.2