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:
2.758 = 2. 7 5 = 2(=010). 7(=111) 5(=101) = 010.1111012
the Final answer: 2.758 = 10.1111012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙80+7∙8-1+5∙8-2 = 2∙1+7∙0.125+5∙0.015625 = 2+0.875+0.078125 = 2.95312510
got It: 2.758 =2.95312510
Translate the number 2.95312510 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. | 953125*2 |
1 | .90625*2 |
1 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
2.95312510 = 10.1111012
the Final answer: 2.758 = 10.1111012