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:
2.268 = 2. 2 6 = 2(=010). 2(=010) 6(=110) = 010.0101102
answer: 2.268 = 10.010112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙80+2∙8-1+6∙8-2 = 2∙1+2∙0.125+6∙0.015625 = 2+0.25+0.09375 = 2.3437510
got It: 2.268 =2.3437510
Translate the number 2.3437510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
2 | 2 | |
-2 | 1 | |
0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 34375*2 |
0 | .6875*2 |
1 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
2.3437510 = 10.010112
answer: 2.268 = 10.010112