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:
673.18 = 6 7 3. 1 = 6(=110) 7(=111) 3(=011). 1(=001) = 110111011.0012
the Final answer: 673.18 = 110111011.0012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙82+7∙81+3∙80+1∙8-1 = 6∙64+7∙8+3∙1+1∙0.125 = 384+56+3+0.125 = 443.12510
got It: 673.18 =443.12510
Translate the number 443.12510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
443 | 2 | | | | | | | | |
-442 | 221 | 2 | | | | | | | |
1 | -220 | 110 | 2 | | | | | | |
| 1 | -110 | 55 | 2 | | | | | |
| | 0 | -54 | 27 | 2 | | | | |
| | | 1 | -26 | 13 | 2 | | | |
| | | | 1 | -12 | 6 | 2 | | |
| | | | | 1 | -6 | 3 | 2 | |
| | | | | | 0 | -2 | 1 | |
| | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
443.12510 = 110111011.0012
the Final answer: 673.18 = 110111011.0012