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:
725.6548 = 7 2 5. 6 5 4 = 7(=111) 2(=010) 5(=101). 6(=110) 5(=101) 4(=100) = 111010101.1101011002
the Final answer: 725.6548 = 111010101.11010112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙82+2∙81+5∙80+6∙8-1+5∙8-2+4∙8-3 = 7∙64+2∙8+5∙1+6∙0.125+5∙0.015625+4∙0.001953125 = 448+16+5+0.75+0.078125+0.0078125 = 469.835937510
got It: 725.6548 =469.835937510
Translate the number 469.835937510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
469 | 2 | | | | | | | | |
-468 | 234 | 2 | | | | | | | |
1 | -234 | 117 | 2 | | | | | | |
| 0 | -116 | 58 | 2 | | | | | |
| | 1 | -58 | 29 | 2 | | | | |
| | | 0 | -28 | 14 | 2 | | | |
| | | | 1 | -14 | 7 | 2 | | |
| | | | | 0 | -6 | 3 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 1 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 8359375*2 |
1 | .67188*2 |
1 | .34375*2 |
0 | .6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
469.835937510 = 111010101.11010112
the Final answer: 725.6548 = 111010101.11010112