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:
26.328 = 2 6. 3 2 = 2(=010) 6(=110). 3(=011) 2(=010) = 010110.0110102
answer: 26.328 = 10110.011012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙81+6∙80+3∙8-1+2∙8-2 = 2∙8+6∙1+3∙0.125+2∙0.015625 = 16+6+0.375+0.03125 = 22.4062510
got It: 26.328 =22.4062510
Translate the number 22.4062510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
22 | 2 | | | | |
-22 | 11 | 2 | | | |
0 | -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. | 40625*2 |
0 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
22.4062510 = 10110.011012
answer: 26.328 = 10110.011012