bandwidth of signal input to the PCM system is restricted to $4$Khz$.$ The input varies from $-3\mathrm{.}8$volts to $43\mathrm{.}8$volts and has the average power of $30$m W$.$ The required signal to noise ratio is $20$dB$.$ 'lhe modulator pr$$luces binary output. Assume uniform quantization. a$.$ Calculate the number of bits required per sample. b$.$ What is the bit rate? c$.$ Output of $30$ such PCNt coders are time multiplexed. What is the minimum required transmission bandwidth for the transmission of multiplexed signal?