Translate the number 142.123410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
142 | 2 | | | | | | | |
-142 | 71 | 2 | | | | | | |
0 | -70 | 35 | 2 | | | | | |
| 1 | -34 | 17 | 2 | | | | |
| | 1 | -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. | 1234*2 |
0 | .2468*2 |
0 | .4936*2 |
0 | .9872*2 |
1 | .9744*2 |
1 | .9488*2 |
1 | .8976*2 |
1 | .7952*2 |
1 | .5904*2 |
1 | .1808*2 |
0 | .3616*2 |
the result of the conversion was:
142.123410 = 10001110.00011111102
the Final answer: 142.123410 = 10001110.00011111102