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
Fill in the number with missing zeros on the right
let\'s make a direct translation from binary to post-binary like this:
000011.1100002 = 000 011. 110 000 = 000(=0) 011(=3). 110(=6) 000(=0) = 03.608
answer: 0011.11002 = 03.608
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+0∙24+0∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+0∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625+0∙0.03125+0∙0.015625 = 0+0+0+0+2+1+0.5+0.25+0+0+0+0 = 3.7510
got It: 000011.1100002 =3.7510
Translate the number 3.7510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 75*8 |
6 | .0*8 |
the result of the conversion was:
3.7510 = 3.68
answer: 0011.11002 = 3.68