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:
705.238 = 7 0 5. 2 3 = 7(=111) 0(=000) 5(=101). 2(=010) 3(=011) = 111000101.0100112
answer: 705.238 = 111000101.0100112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙82+0∙81+5∙80+2∙8-1+3∙8-2 = 7∙64+0∙8+5∙1+2∙0.125+3∙0.015625 = 448+0+5+0.25+0.046875 = 453.29687510
got It: 705.238 =453.29687510
Translate the number 453.29687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
453 | 2 | | | | | | | | |
-452 | 226 | 2 | | | | | | | |
1 | -226 | 113 | 2 | | | | | | |
| 0 | -112 | 56 | 2 | | | | | |
| | 1 | -56 | 28 | 2 | | | | |
| | | 0 | -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. | 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:
453.29687510 = 111000101.0100112
answer: 705.238 = 111000101.0100112