Translate the number 1100.1110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
| 1100 | 2 | | | | | | | | | | |
| -1100 | 550 | 2 | | | | | | | | | |
| 0 | -550 | 275 | 2 | | | | | | | | |
| 0 | -274 | 137 | 2 | | | | | | | |
| | 1 | -136 | 68 | 2 | | | | | | |
| | | 1 | -68 | 34 | 2 | | | | | |
| | | | 0 | -34 | 17 | 2 | | | | |
| | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | 0 | -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:
1100.1110 = 10001001100.00011100002
the Final answer: 1100.1110 = 10001001100.00011100002