Suppose that a $64M$ X $64$ main memory is built using $512K$ X $8$ RAM chips and memory is

word addressable,

a$)$ How many RAM chips are there per bank?

b$)$ How many banks will this memory have?

c$)$ How many RAM chips are necessary?

d$)$ How many address bits are needed for each RAM chip?

e$)$ How many address bits are needed for all of memory $($word addressable$)?$

f$)$ How many banks of memory are needed?

g$)$ How many bits are needed to address the memory banks.

h$)$ If high$-$order interleaving is used, where would address

$(000001011000000000101{)}_2$ be located $($which bank no$.)?$

i$)$ If low$-$order interleaving is used, where would address

$(000001011000000000101{)}_2$ be located $($which bank no$.)?$

j$)$ If low$-$order interleaving is used, where would address

$(000001011111100010101{)}_2$ be located $($which bank no$.)?$