The quantization scheme used when collecting data from a system is shown below. Suppose that we read the data $2\mathrm{.}14\mathrm{.}94\mathrm{.}28\mathrm{.}2.$

a$)$ Which bits are transmitted using this quantization scheme?

b$)$ What is the quantization error for each data collected?

c$)$ What is the root mean square quantization error for this system?

$\backslash$table$[[$User data,$\backslash$table$[[$Transmitted$],[$bits$]]],[0$ to $1,000],[1$ to $2,001],[2$ to $3,010],[3$ to $4,011],[4$ to $5,100],[5$ to $6,101],[6$ to $8,110],[8$ to $10,111]]$