The size of the physical address space of a processor is 232 bytes. The…
GATE · 2026 · CS · Set 1 · Computer Science & IT
The size of the physical address space of a processor is 232 bytes. The capacity of a cache memory unit is 223 bytes. The cache block size is 128 bytes. The cache memory unit can be built as a direct mapped cache or as a 𝐾-way set-associative cache, where 𝐾= 2𝐿 and 𝐿∈{1,2,3}. Let the length of the TAG field be 𝑀 bits for the direct mapped cache, and 𝑁 bits for the set-associative cache. Which one of the following options is true?
- A.
N=𝑀+𝐿
- B.
N=𝑀-𝐿
- C.
N=𝑀+K
- D.
N=𝑀-K
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