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:
17.548 = 1 7. 5 4 = 1(=001) 7(=111). 5(=101) 4(=100) = 001111.1011002
the Final answer: 17.548 = 1111.10112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙81+7∙80+5∙8-1+4∙8-2 = 1∙8+7∙1+5∙0.125+4∙0.015625 = 8+7+0.625+0.0625 = 15.687510
got It: 17.548 =15.687510
Translate the number 15.687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
15 | 2 | | | |
-14 | 7 | 2 | | |
1 | -6 | 3 | 2 | |
| 1 | -2 | 1 | |
| | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
15.687510 = 1111.10112
the Final answer: 17.548 = 1111.10112