Question $3(25$ Marks$)$

a$)$ A memory system is used to store $40-$bits temperature data for future analysis. The memory is arranged in such a way that it has $2048$ rows and $64$ columns. Determine:

i$.$ The memory word size in byte

ii$.$ The number of bits stored in the memory system

$[4$ Marks$]$

$[4$ Marks$]$

iii. Number of row and column addresses

b$)$ Determine the number of address lines for a $512$M DRAM module for:

i$.$ Without address multiplexing

ii$.$ With address multiplexing, assume that DRAM memory is arranged with the same number of row and column address lines

$[4$ Marks$]$

c$)$ Sketch the read waveform for the ROM in Figure $3$ to read memory cell from row $8$ and column $1,$ followed by another read operation to access the memory cell from row $13$ and column $2.$

Figure $3$