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:
173.248 = 1 7 3. 2 4 = 1(=001) 7(=111) 3(=011). 2(=010) 4(=100) = 001111011.0101002
the Final answer: 173.248 = 1111011.01012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙82+7∙81+3∙80+2∙8-1+4∙8-2 = 1∙64+7∙8+3∙1+2∙0.125+4∙0.015625 = 64+56+3+0.25+0.0625 = 123.312510
got It: 173.248 =123.312510
Translate the number 123.312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
123 | 2 | | | | | | |
-122 | 61 | 2 | | | | | |
1 | -60 | 30 | 2 | | | | |
| 1 | -30 | 15 | 2 | | | |
| | 0 | -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. | 3125*2 |
0 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
123.312510 = 1111011.01012
the Final answer: 173.248 = 1111011.01012