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:
65.048 = 6 5. 0 4 = 6(=110) 5(=101). 0(=000) 4(=100) = 110101.0001002
answer: 65.048 = 110101.00012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙81+5∙80+0∙8-1+4∙8-2 = 6∙8+5∙1+0∙0.125+4∙0.015625 = 48+5+0+0.0625 = 53.062510
got It: 65.048 =53.062510
Translate the number 53.062510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
53 | 2 | | | | | |
-52 | 26 | 2 | | | | |
1 | -26 | 13 | 2 | | | |
| 0 | -12 | 6 | 2 | | |
| | 1 | -6 | 3 | 2 | |
| | | 0 | -2 | 1 | |
| | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 0625*2 |
0 | .125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
53.062510 = 110101.00012
answer: 65.048 = 110101.00012