$1.$ Consider a CT baseband analog signal $\backslash (|$x$|$ t$|\backslash$mid $\backslash$leq $1\backslash$mathrm$\{$~V$\}\backslash )$ with the bandwidth $\backslash ($ B$=5\mathrm{.}5\backslash$mathrm$\{$KHz$\}\backslash ).$

a$.$ Calculate the Nyquist sampling rate required for converting this signal to a DT signal.

b$.$ Explain if the resulted DT signal is analog or digital.

c$.$ If we use a standard PCM quantization and encoding, calculate the bit$-$rate of the binary coded version of the signal.

d$.$ Calculate the PCM code for a sample of voltage $\backslash (\backslash$mathbf$\{-0.217\}\backslash )$ Volts.