Answer the following questions using the Shannon

capacity. Note that log$22=1,$ log $24=2,$ log $28=3$ and log $216=4.$

a$.$ What is the bit rate we can send data through a noisy channel

with a bandwidth of $8000$ Hz and SNR of $7?$

b$.$ According to Shannon, if we want to double the bit rate, how

many times we need to increase the bandwidth $($without

changing SNR$)$