Translate the number 3438.4510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3438 | 2 | | | | | | | | | | | |
-3438 | 1719 | 2 | | | | | | | | | | |
0 | -1718 | 859 | 2 | | | | | | | | | |
| 1 | -858 | 429 | 2 | | | | | | | | |
| | 1 | -428 | 214 | 2 | | | | | | | |
| | | 1 | -214 | 107 | 2 | | | | | | |
| | | | 0 | -106 | 53 | 2 | | | | | |
| | | | | 1 | -52 | 26 | 2 | | | | |
| | | | | | 1 | -26 | 13 | 2 | | | |
| | | | | | | 0 | -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. | 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 |
0 | .8*2 |
the result of the conversion was:
3438.4510 = 110101101110.01110011002
the Final answer: 3438.4510 = 110101101110.01110011002