GATE 2026 IN – Question 27
An analog speech signal contains signals from 200 Hz to 2400 Hz. It is sampled at 6 kHz and quantized with 512 levels for pulse-code modulation (PCM). The bit rate will be ________ kbps.
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Correct answer: (D) 54
Explanation
The number of bits per sample is $n=\log_2 512=9$. At the stated sample rate $f_s=6000\ \mathrm{samples/s}$, the PCM bit rate is $R_b=nf_s=9\times6000=54000\ \mathrm{bits/s}$.
Thus the bit rate is **54 kbps (D)**. The upper signal frequency checks the sampling requirement; it does not replace the given sampling rate.