A communications system uses an M$-$QAM modulator with $\backslash (\backslash$mathrm$\{$M$\}=16\backslash )$ and $\backslash ((65,52)\backslash )$ linear block code for the error corrections. The system data rate without coding is $7\mathrm{.}3$ Mbps $.$ Determine the minimum bandwidth required $($in MHz $)$ with coding to satisfy the effective data rate.

Answer:

The correct answer is: $2\mathrm{.}28$