$5)[10$ marks$]$ Consider a RAM chip with a capacity of $2$G words of $16$ bits each.

e$)$ Draw a diagram of the $8$G x $64$ chip built from $2$G x $16$ chips. Include the range of addresses

for each chip.

Chip arrangement:

We have $16$ chips arranged in a $4$x$4$ grid.

Each row has $4$ chips providing $16$ bits each, making up $64$ bits.

We have $4$ rows to cover the entire $8$G words.

Address lines:

The higher $2$ bits $($of the $33-$bit address$)$ are used to select one of the $4$ rows.

The next $2$ bits are used to select one of the $4$ columns within the selected row.

The lower $31$ bits address individual words within each $2$G x $16$ chip.

Data lines:

All chips in a row are connected to the same $64$ data lines.

Address range for each chip:

Chip $(0,0)$: Addresses $0\_\_\_\_\_231$

Chip $(0,1)$: Addresses $231\_\_\_\_\_\_232-1$

Chip $(0,2)$: Addresses $232\_\_\_\_3*231-1$

Chip $(0,3)$: Addresses $3*231\_\_\_\_\_\_4*231-1$

$...$ and so on$,$ up to Chip $(3,3).$

Draw the diagram in logism$.$ THE answer is simple please don't complicate it$!$

THank you.

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