$1.$ All digital systems manipulate data in Binary form. But reading long strings of $0$s and ones pauses a challenge in the way we process the information. Hence its always convenient for us to convert to other Binary Code forms.

$1\mathrm{.}1.$Carry out the following number conversions

$1\mathrm{.}1\mathrm{.}1.43758=$ X$9$ F$9.$D$16=$ Y$8[4$ Marks$]$

$1\mathrm{.}2.$Carry out the following complement operations

$1\mathrm{.}2\mathrm{.}1.10$s complement of $856\mathrm{.}21$ BCD code $[2$ Marks$]$

$1\mathrm{.}2\mathrm{.}2.2$s complement of a binary number $1011\mathrm{.}012[2$ Marks$]$

$1\mathrm{.}3.$ Convert $10101($Gray Code$)$ to Binary code $[2$ Marks$]$

$1\mathrm{.}4.$ Encrypt this data stream $\{11001011\}$ using even parity hamming code.$[3$ Marks$]$

Give two advantages that a digital signal has over an analogue signal