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:
0.3478 = 0. 3 4 7 = 0(=000). 3(=011) 4(=100) 7(=111) = 000.0111001112
answer: 0.3478 = .0111001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙80+3∙8-1+4∙8-2+7∙8-3 = 0∙1+3∙0.125+4∙0.015625+7∙0.001953125 = 0+0.375+0.0625+0.013671875 = 0.45117187510
got It: 0.3478 =0.45117187510
Translate the number 0.45117187510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 451171875*2 |
0 | .90234*2 |
1 | .80469*2 |
1 | .60938*2 |
1 | .21875*2 |
0 | .4375*2 |
0 | .875*2 |
1 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.45117187510 = 0.0111001112
answer: 0.3478 = 0.0111001112