A memory system has a total of 8 memory chips each with 12 address lines and 4 data lines. The total size of the memory system is

Number of address lines, n = 12

No. of memory locations = m = 2ⁿ = 2¹²

No. of data line = 4 = No. of bits/location

Total No. of chips given = 8

Total capacity = No. of chips given × No. of memory location (N) × No. of data line

= 8 × 2¹² × 4 bits

= 2³ × 2¹² × 2² bits

= 2¹² × 2² bytes      

∴ 1 byte = 2³ = 8 bits

= 2¹⁰ × 2⁴ bytes

= 16 k bytes         

∴ 2¹⁰ = 1 k bytes