$1.$ How many bits are required to address a $4$M $*16$ main memory if

a$)$ Main memory is byte addressable?

b$)$ Main memory is word addressable?

$2.$ How many bits are required to address a $1$M $*8$ main memory if

a$)$ Main memory is byte addressable?

b$)$ Main memory is word addressable?

$3.$ How many $256*8$ RAM chips are needed to provide a memory capacity of $4096$ bytes?

a$)$ How many bits will each address contain?

b$)$ How many lines must go to each chip?

c$)$ How many lines must be decoded for the chip select inputs? Specify the size of the

decoder.

$4.$ Suppose that a $16$M $*16$ main memory is built using $512$K $*8$ RAM chips and memory

is word addressable.

a$)$ How many RAM chips are necessary?

b$)$ How many RAM chips are there per memory word?

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

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

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

f$)$ If high$-$order interleaving is used, where would address $14($which is E in hex$)$ be

located?

g$)$ Repeat this problem for low$-$order interleaving.