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:
13.578 = 1 3. 5 7 = 1(=001) 3(=011). 5(=101) 7(=111) = 001011.1011112
answer: 13.578 = 1011.1011112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙81+3∙80+5∙8-1+7∙8-2 = 1∙8+3∙1+5∙0.125+7∙0.015625 = 8+3+0.625+0.109375 = 11.73437510
got It: 13.578 =11.73437510
Translate the number 11.73437510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
11 | 2 | | | |
-10 | 5 | 2 | | |
1 | -4 | 2 | 2 | |
| 1 | -2 | 1 | |
| | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 734375*2 |
1 | .46875*2 |
0 | .9375*2 |
1 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
11.73437510 = 1011.1011112
answer: 13.578 = 1011.1011112