CPU Clock = 1 GHz 1 OP requires 5 clock cycles (arithmetic instruction, conditional, etc.) 1 memory access requires 100 clock cycles (Read or Write)
CPU Clock = 1 GHz 1 OP requires 5 clock cycles (arithmetic instruction, conditional, etc.) 1 memory access requires 100 clock cycles (Read or Write)
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
Section: Chapter Questions
Problem 1PE
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Question

Transcribed Image Text:Assume:
CPU Clock = 1 GHz
1 OP requires 5 clock cycles (arithmetic instruction, conditional, etc.)
1 memory access requires 100 clock cycles (Read or Write)
Problem size: N = 1,000,000 (1 million)
There is no cost associated with the loop index variable: do not count any arithmetic
instructions for initializing or incrementing the loop index value, do not count any memory
accesses for accessing and using the loop index variable in your computation of a sum.
Assume the loop index variable is "free of charge"
There is no memory cost of accessing and updating your accumulator variable (e.g., sum
+= ...), but there is an arithmetic operation involved in updating the accumulator variable.
Questions:
1. For algorithm #1 shown below (direct sum):
• How many arithmetic instructions are required by this algorithm?
• How many memory accesses are required by this algorithm?
• How many clocks are required by this algorithm?
• What is the CPI (cycles per instruction) required by this algorithm?
•
What is the estimated execution time for this algorithm in seconds or fractions of
seconds, not counting the print and any problem setup?
Algorithm #1 - Direct Sum
Objective: compute the sum of integers 0..N-1
sum = 0
for i in range(0,N):
sum += i
print("sum = ", sum)
Expert Solution
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