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

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

(a) 8 kbps

(b) 64 kbps

(c) 256 kbps

(d) 512 kbps

I got this question during an online exam.

Origin of the question is Digital Transmission in division EDC Overview of Electronic Devices & Circuits

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The correct answer is (c) 256 kbps

To elaborate: Nyquist Rate  2 x 4k = 8 kHz

Total sample 4 x 8 = 32 k sample/sec

256 = 2^8, so that 8 bits are required

Bit Rate  32k x 8 = 256 kbps.

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