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:
0000.01008 = 0 0 0 0. 0 1 0 0 = 0(=000) 0(=000) 0(=000) 0(=000). 0(=000) 1(=001) 0(=000) 0(=000) = 000000000000.0000010000002
answer: 0000.01008 = .0000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙83+0∙82+0∙81+0∙80+0∙8-1+1∙8-2+0∙8-3+0∙8-4 = 0∙512+0∙64+0∙8+0∙1+0∙0.125+1∙0.015625+0∙0.001953125+0∙0.000244140625 = 0+0+0+0+0+0.015625+0+0 = 0.01562510
got It: 0000.01008 =0.01562510
Translate the number 0.01562510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 015625*2 |
0 | .03125*2 |
0 | .0625*2 |
0 | .125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.01562510 = 0.0000012
answer: 0000.01008 = 0.0000012