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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.

The number of quantization levels required to reduce the quantization noise by a factor of $4$ would be

1. $1024$
2. $512$
3. $256$
4. $64$