Translate the number 11010111.11010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
11010111 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-11010110 | 5505055 | 2 | | | | | | | | | | | | | | | | | | | | | | |
1 | -5505054 | 2752527 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -2752526 | 1376263 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -1376262 | 688131 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 1 | -688130 | 344065 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 1 | -344064 | 172032 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 1 | -172032 | 86016 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 0 | -86016 | 43008 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 0 | -43008 | 21504 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 0 | -21504 | 10752 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 0 | -10752 | 5376 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 0 | -5376 | 2688 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 0 | -2688 | 1344 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 0 | -1344 | 672 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 0 | -672 | 336 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 0 | -336 | 168 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 0 | -168 | 84 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 0 | -84 | 42 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 0 | -42 | 21 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 0 | -20 | 10 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 1 | -10 | 5 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 0 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 110*2 |
0 | .22*2 |
0 | .44*2 |
0 | .88*2 |
1 | .76*2 |
1 | .52*2 |
1 | .04*2 |
0 | .08*2 |
0 | .16*2 |
0 | .32*2 |
0 | .64*2 |
the result of the conversion was:
11010111.11010 = 101010000000000000111111.00011100002
the Final answer: 11010111.11010 = 101010000000000000111111.00011100002