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:
116.548 = 1 1 6. 5 4 = 1(=001) 1(=001) 6(=110). 5(=101) 4(=100) = 001001110.1011002
answer: 116.548 = 1001110.10112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙82+1∙81+6∙80+5∙8-1+4∙8-2 = 1∙64+1∙8+6∙1+5∙0.125+4∙0.015625 = 64+8+6+0.625+0.0625 = 78.687510
got It: 116.548 =78.687510
Translate the number 78.687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
78 | 2 | | | | | | |
-78 | 39 | 2 | | | | | |
0 | -38 | 19 | 2 | | | | |
| 1 | -18 | 9 | 2 | | | |
| | 1 | -8 | 4 | 2 | | |
| | | 1 | -4 | 2 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
78.687510 = 1001110.10112
answer: 116.548 = 1001110.10112