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:
7.768 = 7. 7 6 = 7(=111). 7(=111) 6(=110) = 111.1111102
answer: 7.768 = 111.111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙80+7∙8-1+6∙8-2 = 7∙1+7∙0.125+6∙0.015625 = 7+0.875+0.09375 = 7.9687510
got It: 7.768 =7.9687510
Translate the number 7.9687510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
7 | 2 | | |
-6 | 3 | 2 | |
1 | -2 | 1 | |
| 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 96875*2 |
1 | .9375*2 |
1 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
7.9687510 = 111.111112
answer: 7.768 = 111.111112