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:

Cumulative Personalities Continuity

The psychological theory that an individual's personality traits become more entrenched and consistent over their lifetime through a buildup of experiences and behaviors.

Birth-Order Effects

Theoretical concepts suggesting that a person's rank by age among siblings influences their personality, behavior, and intelligence.

Paradox

A statement or concept that contains conflicting ideas, yet may be true simultaneously.

Personality Development

The dynamic and ongoing process by which individual personality characteristics evolve and change over time.