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:
630.48 = 6 3 0. 4 = 6(=110) 3(=011) 0(=000). 4(=100) = 110011000.1002
answer: 630.48 = 110011000.12
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙82+3∙81+0∙80+4∙8-1 = 6∙64+3∙8+0∙1+4∙0.125 = 384+24+0+0.5 = 408.510
got It: 630.48 =408.510
Translate the number 408.510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
408 | 2 | | | | | | | | |
-408 | 204 | 2 | | | | | | | |
0 | -204 | 102 | 2 | | | | | | |
| 0 | -102 | 51 | 2 | | | | | |
| | 0 | -50 | 25 | 2 | | | | |
| | | 1 | -24 | 12 | 2 | | | |
| | | | 1 | -12 | 6 | 2 | | |
| | | | | 0 | -6 | 3 | 2 | |
| | | | | | 0 | -2 | 1 | |
| | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5*2 |
1 | .0*2 |
the result of the conversion was:
408.510 = 110011000.12
answer: 630.48 = 110011000.12