A message signal $m(t)$ has an average power equal $40mW,$ where $m_{\text{m}\text{a}\text{x}}=3V,$ we need to transmit this signal by binary PCM using uniform quantizer. If the signal$-$to$-$quantization noise ratio SNR is required to be at least $43dB.$ Determine the minimum number of bits required to code the uniform quantizer. Then determine the SNR obtained with this quantizer.

$($Note: assume $m(t)$ is symmetric$)$