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Common Data for Questions 71, 72 and 73:

A speech signal, band limited to $4 \; \mathrm{kHz}$ and peak voltage varying between $+5 \mathrm{V}$ and $-5 \mathrm{V}$, is sampled at the Nyquist rate. Each sample is quantized and represented by $8$ bits.

Assuming the signal to be uniformly distributed between its peak to peak value, the signal to noise ratio at the quantizer output is

1. $16 \mathrm{~dB}$
2. $32 \mathrm{~dB}$
3. $48 \mathrm{~dB}$
4. $64 \mathrm{~dB}$