Translate the number 555.55510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
555 | 2 | | | | | | | | | |
-554 | 277 | 2 | | | | | | | | |
1 | -276 | 138 | 2 | | | | | | | |
| 1 | -138 | 69 | 2 | | | | | | |
| | 0 | -68 | 34 | 2 | | | | | |
| | | 1 | -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. | 555*2 |
1 | .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 |
the result of the conversion was:
555.55510 = 1000101011.10001110002
the Final answer: 555.55510 = 1000101011.10001110002