A binary channel with capacity 30 k bits/sec is available

A binary channel with capacity 30 k bits/sec is available for PCM voice transmission. If signal is band limited to 3 kHz then the appropriate values of quantizing level L and the sampling frequency will be—

f_s ≥ 2f_m
or
f_s = 2 × 3 MHz = 6 MHz
given the channel capacity
BW = 30 × 10³ bits/sec
∴ 30 × 10³ = nf_s
or

n ≤	30 × 10³	≤ 5 = 5
	6 × 10³

Now, quantization level L = 2ⁿ = 2⁵ = 32