Translate the number 10011.1110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
10011 | 2 | | | | | | | | | | | | | |
-10010 | 5005 | 2 | | | | | | | | | | | | |
1 | -5004 | 2502 | 2 | | | | | | | | | | | |
| 1 | -2502 | 1251 | 2 | | | | | | | | | | |
| | 0 | -1250 | 625 | 2 | | | | | | | | | |
| | | 1 | -624 | 312 | 2 | | | | | | | | |
| | | | 1 | -312 | 156 | 2 | | | | | | | |
| | | | | 0 | -156 | 78 | 2 | | | | | | |
| | | | | | 0 | -78 | 39 | 2 | | | | | |
| | | | | | | 0 | -38 | 19 | 2 | | | | |
| | | | | | | | 1 | -18 | 9 | 2 | | | |
| | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 11*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:
10011.1110 = 10011100011011.00011100002
the Final answer: 10011.1110 = 10011100011011.00011100002