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:
000111.0110002 = 000 111. 011 000 = 000(=0) 111(=7). 011(=3) 000(=0) = 07.308
answer: 0111.01102 = 07.308
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙25+0∙24+0∙23+1∙22+1∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+0∙8+1∙4+1∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625+0∙0.03125+0∙0.015625 = 0+0+0+4+2+1+0+0.25+0.125+0+0+0 = 7.37510
got It: 000111.0110002 =7.37510
Translate the number 7.37510 в octal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 375*8 |
3 | .0*8 |
the result of the conversion was:
7.37510 = 7.38
answer: 0111.01102 = 7.38