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:
001101011.0110002 = 001 101 011. 011 000 = 001(=1) 101(=5) 011(=3). 011(=3) 000(=0) = 153.308
answer: 01101011.01102 = 153.308
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙28+0∙27+1∙26+1∙25+0∙24+1∙23+0∙22+1∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4+0∙2-5+0∙2-6 = 0∙256+0∙128+1∙64+1∙32+0∙16+1∙8+0∙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+64+32+0+8+0+2+1+0+0.25+0.125+0+0+0 = 107.37510
got It: 001101011.0110002 =107.37510
Translate the number 107.37510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
107 | 8 | | |
-104 | 13 | 8 | |
3 | -8 | 1 | |
| 5 | | |
|
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:
107.37510 = 153.38
answer: 01101011.01102 = 153.38