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:
34.5668 = 3 4. 5 6 6 = 3(=011) 4(=100). 5(=101) 6(=110) 6(=110) = 011100.1011101102
the Final answer: 34.5668 = 11100.101110112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙81+4∙80+5∙8-1+6∙8-2+6∙8-3 = 3∙8+4∙1+5∙0.125+6∙0.015625+6∙0.001953125 = 24+4+0.625+0.09375+0.01171875 = 28.7304687510
got It: 34.5668 =28.7304687510
Translate the number 28.7304687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
28 | 2 | | | | |
-28 | 14 | 2 | | | |
0 | -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. | 73046875*2 |
1 | .46094*2 |
0 | .92188*2 |
1 | .84375*2 |
1 | .6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
28.7304687510 = 11100.101110112
the Final answer: 34.5668 = 11100.101110112