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:
753.48 = 7 5 3. 4 = 7(=111) 5(=101) 3(=011). 4(=100) = 111101011.1002
answer: 753.48 = 111101011.12
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙82+5∙81+3∙80+4∙8-1 = 7∙64+5∙8+3∙1+4∙0.125 = 448+40+3+0.5 = 491.510
got It: 753.48 =491.510
Translate the number 491.510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
491 | 2 | | | | | | | | |
-490 | 245 | 2 | | | | | | | |
1 | -244 | 122 | 2 | | | | | | |
| 1 | -122 | 61 | 2 | | | | | |
| | 0 | -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. | 5*2 |
1 | .0*2 |
the result of the conversion was:
491.510 = 111101011.12
answer: 753.48 = 111101011.12