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:
001001101011.0101102 = 001 001 101 011. 010 110 = 001(=1) 001(=1) 101(=5) 011(=3). 010(=2) 110(=6) = 1153.268
answer: 1001101011.0101102 = 1153.268
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+0∙27+1∙26+1∙25+0∙24+1∙23+0∙22+1∙21+1∙20+0∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6 = 0∙2048+0∙1024+1∙512+0∙256+0∙128+1∙64+1∙32+0∙16+1∙8+0∙4+1∙2+1∙1+0∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625 = 0+0+512+0+0+64+32+0+8+0+2+1+0+0.25+0+0.0625+0.03125+0 = 619.3437510
got It: 001001101011.0101102 =619.3437510
Translate the number 619.3437510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
619 | 8 | | | |
-616 | 77 | 8 | | |
3 | -72 | 9 | 8 | |
| 5 | -8 | 1 | |
| | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 34375*8 |
2 | .75*8 |
6 | .0*8 |
the result of the conversion was:
619.3437510 = 1153.268
answer: 1001101011.0101102 = 1153.268