You Are Given an Empty 16K 2-Way Set-Associative LRU-Replacement Cache

question 15

Essay

You are given an empty 16K 2-way set-associative LRU-replacement cache with 32 byte blocks on a machine with 4 byte words and 32-bit addresses. Describe in mathematical terms a memory read address sequence which yields the following Hit/Miss patterns. If such a sequence is impossible, state why. Sample sequences:
address(N) = N mod 232 (= 0, 1, 2, 3, 4...)
address = (7, 12, 14)
(a) Miss, Hit, Hit, Miss
(b) Miss, (Hit)*
(c) (Hit)*
(d) (Miss)*
(e) (Miss, Hit)*

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Definitions:

Market Demand

The overall amount of a product or service that every consumer in a market is ready and capable of buying at different price levels.

Competitive Market

A commercial system where numerous buyers and sellers exist, preventing any single party from setting the price.

Cost Structure

The composition of fixed and variable costs that a business or project incurs during its operations, highlighting how different expenses affect the total cost and profitability.

Total Cost

The total of all costs associated with producing goods or services, which encompasses both fixed and variable expenses.