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:
001011110011011111.1010102 = 001 011 110 011 011 111. 101 010 = 001(=1) 011(=3) 110(=6) 011(=3) 011(=3) 111(=7). 101(=5) 010(=2) = 136337.528
answer: 1011110011011111.101012 = 136337.528
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙217+0∙216+1∙215+0∙214+1∙213+1∙212+1∙211+1∙210+0∙29+0∙28+1∙27+1∙26+0∙25+1∙24+1∙23+1∙22+1∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6 = 0∙131072+0∙65536+1∙32768+0∙16384+1∙8192+1∙4096+1∙2048+1∙1024+0∙512+0∙256+1∙128+1∙64+0∙32+1∙16+1∙8+1∙4+1∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625 = 0+0+32768+0+8192+4096+2048+1024+0+0+128+64+0+16+8+4+2+1+0.5+0+0.125+0+0.03125+0 = 48351.6562510
got It: 001011110011011111.1010102 =48351.6562510
Translate the number 48351.6562510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
48351 | 8 | | | | | |
-48344 | 6043 | 8 | | | | |
7 | -6040 | 755 | 8 | | | |
| 3 | -752 | 94 | 8 | | |
| | 3 | -88 | 11 | 8 | |
| | | 6 | -8 | 1 | |
| | | | 3 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 65625*8 |
5 | .25*8 |
2 | .0*8 |
the result of the conversion was:
48351.6562510 = 136337.528
answer: 1011110011011111.101012 = 136337.528