onsider a multilevel computer in which levels are vertically stacked, with the lowest level being level 1. Each level has instructions that are m times as powerful as those of the level below it; that is, one level r instruction can do the work of m instructions at level r-1.  However, n instructions at level r-1 are required to interpret each instruction at level r.   Given this, answer the following questions:              If a level 1 program requires k seconds to run, how long would the equivalent program take to run at levels 2, 3 and 4. Express your answer in terms of n, m, and r. What is the performance implication for the program if n > m? Conversely, what is the implication if m > n?  Which case do you think more likely?  Why?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider a multilevel computer in which levels are vertically stacked, with the lowest level being level 1. Each level has instructions that are m times as powerful as those of the level below it; that is, one level r instruction can do the work of m instructions at level r-1.  However, n instructions at level r-1 are required to interpret each instruction at level r.   Given this, answer the following questions:             

  1. If a level 1 program requires k seconds to run, how long would the equivalent program take to run at levels 2, 3 and 4. Express your answer in terms of n, m, and r.

  2. What is the performance implication for the program if n > m? Conversely, what is the implication if m > n?  Which case do you think more likely?  Why?
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