Translate the number 3456.72510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3456 | 2 | | | | | | | | | | | |
-3456 | 1728 | 2 | | | | | | | | | | |
0 | -1728 | 864 | 2 | | | | | | | | | |
| 0 | -864 | 432 | 2 | | | | | | | | |
| | 0 | -432 | 216 | 2 | | | | | | | |
| | | 0 | -216 | 108 | 2 | | | | | | |
| | | | 0 | -108 | 54 | 2 | | | | | |
| | | | | 0 | -54 | 27 | 2 | | | | |
| | | | | | 0 | -26 | 13 | 2 | | | |
| | | | | | | 1 | -12 | 6 | 2 | | |
| | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 725*2 |
1 | .45*2 |
0 | .9*2 |
1 | .8*2 |
1 | .6*2 |
1 | .2*2 |
0 | .4*2 |
0 | .8*2 |
1 | .6*2 |
1 | .2*2 |
0 | .4*2 |
the result of the conversion was:
3456.72510 = 110110000000.10111001102
the Final answer: 3456.72510 = 110110000000.10111001102