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:
73.168 = 7 3. 1 6 = 7(=111) 3(=011). 1(=001) 6(=110) = 111011.0011102
answer: 73.168 = 111011.001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙81+3∙80+1∙8-1+6∙8-2 = 7∙8+3∙1+1∙0.125+6∙0.015625 = 56+3+0.125+0.09375 = 59.2187510
got It: 73.168 =59.2187510
Translate the number 59.2187510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
59 | 2 | | | | | |
-58 | 29 | 2 | | | | |
1 | -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. | 21875*2 |
0 | .4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
59.2187510 = 111011.001112
answer: 73.168 = 111011.001112