Discussion
How many address lines are needed to address each machine location in a 2048 x 4 memory chip?
Answer: B
Correct answer: 11
The number of addressable locations is 2048, so the address lines must satisfy
\[ 2^{n} \ge 2048 = 2^{11} \]giving 11 lines. The “× 4” describes the width of each location, four bits, and has no effect on how many address lines are needed.
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