How many address lines are needed to address each machine location in a 2048 x 4 memory chip?

To determine how many address lines are needed for a 2048 x 4 memory chip, we first need to know how many unique addresses the chip has.

In a 2048 x 4 memory chip:

– The “2048” indicates that there are 2048 individual locations (or words) in the memory.

To find the number of address lines needed, we apply the formula:

[

text{Number of address lines} = log_2(text{Number of locations})

]

Calculating it:

[

log_2(2048)

]

Since ( 2048 = 2^{11} ),

[

log_2(2048) = 11

]

Therefore, 11 address lines are needed to address each machine location in a 2048 x 4 memory chip.