Question # $1.($solve by hand$)$

Q$4-$a$]$ If the following analog signal $x(t)$ is converted to digital signal and it is placed as an input to A$/$D converter,

$x(t)=3$Cos$(2\mathrm{.}20000*t)$

Plot one cycle of the analog signal $x(t).$

Calculate and show, in the same graph, quantization levels and the sampled signal $($discrete$)$ If the signal is sampled at quarter of the maximum allowable sampling timings over one cycle of the signal with $2$ bits quantizer.

What are the first $10$ bits of the output digital signal.