Translate the number 3820.3310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
3820 | 2 | | | | | | | | | | | |
-3820 | 1910 | 2 | | | | | | | | | | |
0 | -1910 | 955 | 2 | | | | | | | | | |
| 0 | -954 | 477 | 2 | | | | | | | | |
| | 1 | -476 | 238 | 2 | | | | | | | |
| | | 1 | -238 | 119 | 2 | | | | | | |
| | | | 0 | -118 | 59 | 2 | | | | | |
| | | | | 1 | -58 | 29 | 2 | | | | |
| | | | | | 1 | -28 | 14 | 2 | | | |
| | | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 33*2 |
0 | .66*2 |
1 | .32*2 |
0 | .64*2 |
1 | .28*2 |
0 | .56*2 |
1 | .12*2 |
0 | .24*2 |
0 | .48*2 |
0 | .96*2 |
1 | .92*2 |
the result of the conversion was:
3820.3310 = 111011101100.01010100012
the Final answer: 3820.3310 = 111011101100.01010100012