Question $4$: Digital Modulation: QAM $(20$ points$)$

in $64$ QAM modulation, the symbols mapped are. $S_{51},S_{43},S_{20},S_{12}$

What are the bit streams to be transmitted?

If the noise to be added to the $4$ symbols are $1\mathrm{.}1-0\mathrm{.}7j,-1\mathrm{.}1+0\mathrm{.}2j,-1\mathrm{.}5-0\mathrm{.}3j,1\mathrm{.}5+0\mathrm{.}8j,$ what are corrupted symbols?

What are de$-$mapped symbols and corresponding receiving bit stream?

Explain what is Gray code through the second symbol in the processing?