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:
36.258 = 3 6. 2 5 = 3(=011) 6(=110). 2(=010) 5(=101) = 011110.0101012
the Final answer: 36.258 = 11110.0101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙81+6∙80+2∙8-1+5∙8-2 = 3∙8+6∙1+2∙0.125+5∙0.015625 = 24+6+0.25+0.078125 = 30.32812510
got It: 36.258 =30.32812510
Translate the number 30.32812510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
30 | 2 | | | | |
-30 | 15 | 2 | | | |
0 | -14 | 7 | 2 | | |
| 1 | -6 | 3 | 2 | |
| | 1 | -2 | 1 | |
| | | 1 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 328125*2 |
0 | .65625*2 |
1 | .3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
30.32812510 = 11110.0101012
the Final answer: 36.258 = 11110.0101012