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:
33.11568 = 3 3. 1 1 5 6 = 3(=011) 3(=011). 1(=001) 1(=001) 5(=101) 6(=110) = 011011.0010011011102
answer: 33.11568 = 11011.001001101112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙81+3∙80+1∙8-1+1∙8-2+5∙8-3+6∙8-4 = 3∙8+3∙1+1∙0.125+1∙0.015625+5∙0.001953125+6∙0.000244140625 = 24+3+0.125+0.015625+0.009765625+0.00146484375 = 27.1518554687510
got It: 33.11568 =27.1518554687510
Translate the number 27.1518554687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
27 | 2 | | | | |
-26 | 13 | 2 | | | |
1 | -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. | 15185546875*2 |
0 | .30371*2 |
0 | .60742*2 |
1 | .21484*2 |
0 | .42969*2 |
0 | .85938*2 |
1 | .71875*2 |
1 | .4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
the result of the conversion was:
27.1518554687510 = 11011.00100110112
answer: 33.11568 = 11011.00100110112