Four voice signals, each limited to 4 kHz and sampled by

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Four voice signals, each limited to 4 kHz and sampled by Nyquist rate are converted into binary PCM using 256 quantization levels. The bit transmission rate for the time division multiplexed signal will be—

1. 8 kbps
2. 6 kbps
3. 256 kbps
4. 512 kbps

Correct Option: C

Given N = information bit
i.e. 2^N = 256 or N = 8, n = 4 (no. of channel)
f_s = 2f_m = 2 × 4kHz = 8kHz
Transmission rate = nNf_s = 4 x 8 x 8 = 256 kbps