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:
105.28 = 1 0 5. 2 = 1(=001) 0(=000) 5(=101). 2(=010) = 001000101.0102
answer: 105.28 = 1000101.012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙82+0∙81+5∙80+2∙8-1 = 1∙64+0∙8+5∙1+2∙0.125 = 64+0+5+0.25 = 69.2510
got It: 105.28 =69.2510
Translate the number 69.2510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
69 | 2 | | | | | | |
-68 | 34 | 2 | | | | | |
1 | -34 | 17 | 2 | | | | |
| 0 | -16 | 8 | 2 | | | |
| | 1 | -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. | 25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
69.2510 = 1000101.012
answer: 105.28 = 1000101.012