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:
325.248 = 3 2 5. 2 4 = 3(=011) 2(=010) 5(=101). 2(=010) 4(=100) = 011010101.0101002
the Final answer: 325.248 = 11010101.01012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙82+2∙81+5∙80+2∙8-1+4∙8-2 = 3∙64+2∙8+5∙1+2∙0.125+4∙0.015625 = 192+16+5+0.25+0.0625 = 213.312510
got It: 325.248 =213.312510
Translate the number 213.312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
213 | 2 | | | | | | | |
-212 | 106 | 2 | | | | | | |
1 | -106 | 53 | 2 | | | | | |
| 0 | -52 | 26 | 2 | | | | |
| | 1 | -26 | 13 | 2 | | | |
| | | 0 | -12 | 6 | 2 | | |
| | | | 1 | -6 | 3 | 2 | |
| | | | | 0 | -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:
213.312510 = 11010101.01012
the Final answer: 325.248 = 11010101.01012