Number Theory T...

Binary number are used because:

The complex number  $$\dfrac{1+2i}{1-i}$$ lies in which quadrant of the compiles plan

Which are not property of Binary relations

If Z satisfied   the equation  $$\left ( \dfrac{Z- 2}{Z + 2} \right ) \, \left ( \dfrac {{\bar Z} - 2}{{\bar Z} + 2} \right )$$then minimum, value of$$ |Z| $$is equal to 

If $$\mid{z_1}\mid=2$$, $$\mid{z_2}\mid=3$$, $$\mid{z_3}\mid=4$$ and $$\mid{z_1+z_2+z_3}\mid=2$$, then the value of $$\mid{4z_2z_3+9z_3z_1+16z_1z_2}\mid$$.

$${ \left( \dfrac { cos\dfrac { \pi  }{ 8 } -isin\dfrac { \pi  }{ 8 }  }{ cos\dfrac { \pi  }{ 8 } +isin\dfrac { \pi  }{ 8 }  }  \right)  }^{ 4 }$$

In binary synchronous, communication ............code is used by the receiver to check the validity of the message recovered. 

Which of the following is NOT a binary system?

..............is a binary synchronous data transmission. 

$$ | \frac{z_1 - 2z_2}{2 - z_1\bar{z}_2} | = 1$$ and $$|z_2| \neq 1$$ then the value of $$|z_1|$$ is