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:
001111011011011.1101102 = 001 111 011 011 011. 110 110 = 001(=1) 111(=7) 011(=3) 011(=3) 011(=3). 110(=6) 110(=6) = 17333.668
answer: 1111011011011.110112 = 17333.668
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙214+0∙213+1∙212+1∙211+1∙210+1∙29+0∙28+1∙27+1∙26+0∙25+1∙24+1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6 = 0∙16384+0∙8192+1∙4096+1∙2048+1∙1024+1∙512+0∙256+1∙128+1∙64+0∙32+1∙16+1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625 = 0+0+4096+2048+1024+512+0+128+64+0+16+8+0+2+1+0.5+0.25+0+0.0625+0.03125+0 = 7899.8437510
got It: 001111011011011.1101102 =7899.8437510
Translate the number 7899.8437510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
7899 | 8 | | | | |
-7896 | 987 | 8 | | | |
3 | -984 | 123 | 8 | | |
| 3 | -120 | 15 | 8 | |
| | 3 | -8 | 1 | |
| | | 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 84375*8 |
6 | .75*8 |
6 | .0*8 |
the result of the conversion was:
7899.8437510 = 17333.668
answer: 1111011011011.110112 = 17333.668