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:
0.618 = 0. 6 1 = 0(=000). 6(=110) 1(=001) = 000.1100012
the Final answer: 0.618 = .1100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙80+6∙8-1+1∙8-2 = 0∙1+6∙0.125+1∙0.015625 = 0+0.75+0.015625 = 0.76562510
got It: 0.618 =0.76562510
Translate the number 0.76562510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 765625*2 |
1 | .53125*2 |
1 | .0625*2 |
0 | .125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.76562510 = 0.1100012
the Final answer: 0.618 = 0.1100012