Problem: A 1024 × 1024 array of 32-bit numbers is to be normalized as follows. For each column, the largest element is found and all elements of the column are divided by the value of this element. Assume that each page in the virtual memory consists of 4K bytes, and that 1M bytes of the main memory are allocated for storing array data during this computation. Assume that it takes 10 ms to load a page from the disk into the main memory when a page fault occurs. (a) Assume that the array is processed one column at a time. How many page faults would occur and how long does it take to complete the normalization process if the elements of the array are stored in column order in the virtual memory? (b) Repeat part (a) assuming the elements are stored in row order?

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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Problem: A 1024 x 1024 array of 32-bit numbers is to be normalized as follows. For each
column, the largest element is found and all elements of the column are divided by the value
of this element. Assume that each page in the virtual memory consists of 4K bytes, and that
1M bytes of the main memory are allocated for storing array data during this computation.
Assume that it takes 10 ms to load a page from the disk into the main memory when a page
fault occurs.
(a) Assume that the array is processed one column at a time. How many page faults
would occur and how long does it take to complete the normalization process if the
elements of the array are stored in column order in the virtual memory?
(b) Repeat part (a) assuming the elements are stored in row order?
Transcribed Image Text:Problem: A 1024 x 1024 array of 32-bit numbers is to be normalized as follows. For each column, the largest element is found and all elements of the column are divided by the value of this element. Assume that each page in the virtual memory consists of 4K bytes, and that 1M bytes of the main memory are allocated for storing array data during this computation. Assume that it takes 10 ms to load a page from the disk into the main memory when a page fault occurs. (a) Assume that the array is processed one column at a time. How many page faults would occur and how long does it take to complete the normalization process if the elements of the array are stored in column order in the virtual memory? (b) Repeat part (a) assuming the elements are stored in row order?
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