Translate the number 40.2010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
40 | 2 | | | | | |
-40 | 20 | 2 | | | | |
0 | -20 | 10 | 2 | | | |
| 0 | -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. | 20*2 |
0 | .4*2 |
0 | .8*2 |
1 | .6*2 |
1 | .2*2 |
0 | .4*2 |
0 | .8*2 |
1 | .6*2 |
1 | .2*2 |
0 | .4*2 |
0 | .8*2 |
the result of the conversion was:
40.2010 = 101000.00110011002
the Final answer: 40.2010 = 101000.00110011002