let\'s translate to decimal like this:
1∙227+1∙226+1∙225+0∙224+1∙223+1∙222+0∙221+1∙220+1∙219+0∙218+1∙217+0∙216+0∙215+1∙214+1∙213+1∙212+0∙211+0∙210+0∙29+1∙28+0∙27+1∙26+1∙25+0∙24+0∙23+1∙22+0∙21+1∙20 = 1∙134217728+1∙67108864+1∙33554432+0∙16777216+1∙8388608+1∙4194304+0∙2097152+1∙1048576+1∙524288+0∙262144+1∙131072+0∙65536+0∙32768+1∙16384+1∙8192+1∙4096+0∙2048+0∙1024+0∙512+1∙256+0∙128+1∙64+1∙32+0∙16+0∙8+1∙4+0∙2+1∙1 = 134217728+67108864+33554432+0+8388608+4194304+0+1048576+524288+0+131072+0+0+16384+8192+4096+0+0+0+256+0+64+32+0+0+4+0+1 = 24919690110
got It: 11101101101001110001011001012 =24919690110
Translate the number 24919690110 в 6 - false like this:
the Integer part of the number is divided by the base of the new number system:
249196901 | 6 | | | | | | | | | | |
-249196896 | 41532816 | 6 | | | | | | | | | |
5 | -41532816 | 6922136 | 6 | | | | | | | | |
| 0 | -6922134 | 1153689 | 6 | | | | | | | |
| | 2 | -1153686 | 192281 | 6 | | | | | | |
| | | 3 | -192276 | 32046 | 6 | | | | | |
| | | | 5 | -32046 | 5341 | 6 | | | | |
| | | | | 0 | -5340 | 890 | 6 | | | |
| | | | | | 1 | -888 | 148 | 6 | | |
| | | | | | | 2 | -144 | 24 | 6 | |
| | | | | | | | 4 | -24 | 4 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
24919690110 = 404210532056
answer: 11101101101001110001011001012 = 404210532056