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:
133.38 = 1 3 3. 3 = 1(=001) 3(=011) 3(=011). 3(=011) = 001011011.0112
the Final answer: 133.38 = 1011011.0112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙82+3∙81+3∙80+3∙8-1 = 1∙64+3∙8+3∙1+3∙0.125 = 64+24+3+0.375 = 91.37510
got It: 133.38 =91.37510
Translate the number 91.37510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
91 | 2 | | | | | | |
-90 | 45 | 2 | | | | | |
1 | -44 | 22 | 2 | | | | |
| 1 | -22 | 11 | 2 | | | |
| | 0 | -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. | 375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
91.37510 = 1011011.0112
the Final answer: 133.38 = 1011011.0112