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:
214.068 = 2 1 4. 0 6 = 2(=010) 1(=001) 4(=100). 0(=000) 6(=110) = 010001100.0001102
the Final answer: 214.068 = 10001100.000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙82+1∙81+4∙80+0∙8-1+6∙8-2 = 2∙64+1∙8+4∙1+0∙0.125+6∙0.015625 = 128+8+4+0+0.09375 = 140.0937510
got It: 214.068 =140.0937510
Translate the number 140.0937510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
140 | 2 | | | | | | | |
-140 | 70 | 2 | | | | | | |
0 | -70 | 35 | 2 | | | | | |
| 0 | -34 | 17 | 2 | | | | |
| | 1 | -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. | 09375*2 |
0 | .1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
140.0937510 = 10001100.000112
the Final answer: 214.068 = 10001100.000112