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:
36.5328 = 3 6. 5 3 2 = 3(=011) 6(=110). 5(=101) 3(=011) 2(=010) = 011110.1010110102
answer: 36.5328 = 11110.101011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙81+6∙80+5∙8-1+3∙8-2+2∙8-3 = 3∙8+6∙1+5∙0.125+3∙0.015625+2∙0.001953125 = 24+6+0.625+0.046875+0.00390625 = 30.6757812510
got It: 36.5328 =30.6757812510
Translate the number 30.6757812510 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. | 67578125*2 |
1 | .35156*2 |
0 | .70313*2 |
1 | .40625*2 |
0 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
30.6757812510 = 11110.101011012
answer: 36.5328 = 11110.101011012