Translate the number 1101.0110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1101 | 2 | | | | | | | | | | |
-1100 | 550 | 2 | | | | | | | | | |
1 | -550 | 275 | 2 | | | | | | | | |
| 0 | -274 | 137 | 2 | | | | | | | |
| | 1 | -136 | 68 | 2 | | | | | | |
| | | 1 | -68 | 34 | 2 | | | | | |
| | | | 0 | -34 | 17 | 2 | | | | |
| | | | | 0 | -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. | 01*2 |
0 | .02*2 |
0 | .04*2 |
0 | .08*2 |
0 | .16*2 |
0 | .32*2 |
0 | .64*2 |
1 | .28*2 |
0 | .56*2 |
1 | .12*2 |
0 | .24*2 |
the result of the conversion was:
1101.0110 = 10001001101.00000010102
the Final answer: 1101.0110 = 10001001101.00000010102