$2.$ Consider a computer system that uses $1$MB of memory made up of $64$KB RAM chips. Assume a $32-$bit word size.

a$.$ How many RAM chips are required to satisfy this system$$s memory requirements? $[1$ mark$]$

b$.$ Determine the size of an address in this system. $[3$ marks$]$

c$.$ Determine the number of chip address lines and the number of word select lines. $[2$ marks$]$

d$.$ What is the size of the decoder used to select the appropriate RAM chip?