This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
let\'s make a direct translation from binary to post-binary like this:
000.1010112 = 000. 101 011 = 000(=0). 101(=5) 011(=3) = 0.538
answer: 0.1010112 = 0.538
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙22+0∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6 = 0∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625 = 0+0+0+0.5+0+0.125+0+0.03125+0.015625 = 0.67187510
got It: 000.1010112 =0.67187510
Translate the number 0.67187510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 671875*8 |
5 | .375*8 |
3 | .0*8 |
the result of the conversion was:
0.67187510 = 0.538
answer: 0.1010112 = 0.538