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:
576.238 = 5 7 6. 2 3 = 5(=101) 7(=111) 6(=110). 2(=010) 3(=011) = 101111110.0100112
the Final answer: 576.238 = 101111110.0100112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙82+7∙81+6∙80+2∙8-1+3∙8-2 = 5∙64+7∙8+6∙1+2∙0.125+3∙0.015625 = 320+56+6+0.25+0.046875 = 382.29687510
got It: 576.238 =382.29687510
Translate the number 382.29687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
382 | 2 | | | | | | | | |
-382 | 191 | 2 | | | | | | | |
0 | -190 | 95 | 2 | | | | | | |
| 1 | -94 | 47 | 2 | | | | | |
| | 1 | -46 | 23 | 2 | | | | |
| | | 1 | -22 | 11 | 2 | | | |
| | | | 1 | -10 | 5 | 2 | | |
| | | | | 1 | -4 | 2 | 2 | |
| | | | | | 1 | -2 | 1 | |
| | | | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 296875*2 |
0 | .59375*2 |
1 | .1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
382.29687510 = 101111110.0100112
the Final answer: 576.238 = 101111110.0100112