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:
361.148 = 3 6 1. 1 4 = 3(=011) 6(=110) 1(=001). 1(=001) 4(=100) = 011110001.0011002
answer: 361.148 = 11110001.00112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙82+6∙81+1∙80+1∙8-1+4∙8-2 = 3∙64+6∙8+1∙1+1∙0.125+4∙0.015625 = 192+48+1+0.125+0.0625 = 241.187510
got It: 361.148 =241.187510
Translate the number 241.187510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
241 | 2 | | | | | | | |
-240 | 120 | 2 | | | | | | |
1 | -120 | 60 | 2 | | | | | |
| 0 | -60 | 30 | 2 | | | | |
| | 0 | -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. | 1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
241.187510 = 11110001.00112
answer: 361.148 = 11110001.00112