a$.$Briefly explain the trade$-$offs between the number of quantisation levels and signal accuracy, considering the concepts of quantisation error and S$/$N ratio.

$(2$ marks$)$

b$.$An analogue signal is being digitised using an $8-$bit analogue$-$to$-$digital converter $($ADC$).$ The voltage range of the signal is from $-10$ V to $+10$ V$.$

i$.$Determine the number of quantisation levels available for this ADC.

ii$.$If the ADC samples the signal at a rate of $5000$ samples per second, calculate the total number of bits produced by the ADC per minute.

$(3$ marks$)$