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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. $64$
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