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:
37.68 = 3 7. 6 = 3(=011) 7(=111). 6(=110) = 011111.1102
the Final answer: 37.68 = 11111.112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙81+7∙80+6∙8-1 = 3∙8+7∙1+6∙0.125 = 24+7+0.75 = 31.7510
got It: 37.68 =31.7510
Translate the number 31.7510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
31 | 2 | | | | |
-30 | 15 | 2 | | | |
1 | -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. | 75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
31.7510 = 11111.112
the Final answer: 37.68 = 11111.112