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:
011.0001112 = 011. 000 111 = 011(=3). 000(=0) 111(=7) = 3.078
answer: 11.0001112 = 3.078
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙22+1∙21+1∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+1∙2-6 = 0∙4+1∙2+1∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+1∙0.015625 = 0+2+1+0+0+0+0.0625+0.03125+0.015625 = 3.10937510
got It: 011.0001112 =3.10937510
Translate the number 3.10937510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 109375*8 |
0 | .875*8 |
7 | .0*8 |
the result of the conversion was:
3.10937510 = 3.078
answer: 11.0001112 = 3.078