a$)$A time$-$division multiplexing $($TDM$)$ link has $20$ signal channels and each

channel is sampled $8000$ times$/$sec$.$ Each sample is represented by $7$ binary bits

and contains an additional bit for synchronization. Find the total bit rate for the

TDM link.

b$)$ A continuous signal has dynamic voltage range of to If this

signal after sampling is quantized to $8-$bits. Then

i$)$ How many quantization levels are used? State quantization levels

corresponding to two lowermost levels and two highest levels.

ii$)$ What is the step size S$?$

iii$)$ Find the quantization error?