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:
657.528 = 6 5 7. 5 2 = 6(=110) 5(=101) 7(=111). 5(=101) 2(=010) = 110101111.1010102
the Final answer: 657.528 = 110101111.101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙82+5∙81+7∙80+5∙8-1+2∙8-2 = 6∙64+5∙8+7∙1+5∙0.125+2∙0.015625 = 384+40+7+0.625+0.03125 = 431.6562510
got It: 657.528 =431.6562510
Translate the number 431.6562510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
431 | 2 | | | | | | | | |
-430 | 215 | 2 | | | | | | | |
1 | -214 | 107 | 2 | | | | | | |
| 1 | -106 | 53 | 2 | | | | | |
| | 1 | -52 | 26 | 2 | | | | |
| | | 1 | -26 | 13 | 2 | | | |
| | | | 0 | -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. | 65625*2 |
1 | .3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
431.6562510 = 110101111.101012
the Final answer: 657.528 = 110101111.101012