Question

Suppose that a 64MB system memory is built from 64 1MB RAM chips. How many address lines are needed to select one of the memory chips

Answer 1

6 address lines

Step-by-step explanation:

The computation of the number of address lines needed is shown below:

Given that

Total memory = 64MB

=
`2^6MB`

=
`2^(26) bytes`

Also we know that in 1MB RAM the number of chips is 6

So, the number of address lines is
`2^(26) address` i..e 26 address lines

And, the size of one chip is equivalent to 1 MB i.e.
`2^(20) bytes`

For a single 1MB chips of RAM, the number of address lines is

`(2^(26))/(2^(20)) \\\\= 2^6 address`

Therefore 6 address lines needed