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:
000.1011112 = 000. 101 111 = 000(=0). 101(=5) 111(=7) = 0.578
answer: 0.1011112 = 0.578
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+1∙2-4+1∙2-5+1∙2-6 = 0∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+1∙0.015625 = 0+0+0+0.5+0+0.125+0.0625+0.03125+0.015625 = 0.73437510
got It: 000.1011112 =0.73437510
Translate the number 0.73437510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 734375*8 |
5 | .875*8 |
7 | .0*8 |
the result of the conversion was:
0.73437510 = 0.578
answer: 0.1011112 = 0.578