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:
43.28 = 4 3. 2 = 4(=100) 3(=011). 2(=010) = 100011.0102
answer: 43.28 = 100011.012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙81+3∙80+2∙8-1 = 4∙8+3∙1+2∙0.125 = 32+3+0.25 = 35.2510
got It: 43.28 =35.2510
Translate the number 35.2510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
35 | 2 | | | | | |
-34 | 17 | 2 | | | | |
1 | -16 | 8 | 2 | | | |
| 1 | -8 | 4 | 2 | | |
| | 0 | -4 | 2 | 2 | |
| | | 0 | -2 | 1 | |
| | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
35.2510 = 100011.012
answer: 43.28 = 100011.012