let\'s translate to decimal like this:
0∙57+1∙56+1∙55+0∙54+0∙53+1∙52+1∙51+1∙50 = 0∙78125+1∙15625+1∙3125+0∙625+0∙125+1∙25+1∙5+1∙1 = 0+15625+3125+0+0+25+5+1 = 1878110
got It: 011001115 =1878110
Translate the number 1878110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
18781 | 2 | | | | | | | | | | | | | | |
-18780 | 9390 | 2 | | | | | | | | | | | | | |
1 | -9390 | 4695 | 2 | | | | | | | | | | | | |
| 0 | -4694 | 2347 | 2 | | | | | | | | | | | |
| | 1 | -2346 | 1173 | 2 | | | | | | | | | | |
| | | 1 | -1172 | 586 | 2 | | | | | | | | | |
| | | | 1 | -586 | 293 | 2 | | | | | | | | |
| | | | | 0 | -292 | 146 | 2 | | | | | | | |
| | | | | | 1 | -146 | 73 | 2 | | | | | | |
| | | | | | | 0 | -72 | 36 | 2 | | | | | |
| | | | | | | | 1 | -36 | 18 | 2 | | | | |
| | | | | | | | | 0 | -18 | 9 | 2 | | | |
| | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
1878110 = 1001001010111012
answer: 011001115 = 1001001010111012