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4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding

4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding

Database System Concepts
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

binary = "010000000111111010111001"

#convert to decimal from binary
decimal = int(binary,2)
print("{:.5f}".format(decimal))
print("\n")

#Three digit chopping
print('%.3f'% decimal)
print("\n")

#Three digit rounding
print(round(decimal,3))
print("\n")

 

Please solve questions 4-6. My code for questions #1-3 is above. Code is written in Python.

1) Use double precision, calculate the resulting values (format to 5 decimal places) a) 010000000111111010111001 2) Repeat exercise 1 using three-digit chopping arithmetic 3) Repeat exercise 1 using three-digit rounding arithmetic 4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding 5) f(x) = 2 (-1)^(1/²) k=1 Consider the infinite series: f(x)=(-1)*| What is the minimum number of terms needed to computer f(1) with error < 10-4? 6) Determine the number of iterations necessary to solve f(x) = x³ + 4x² − 10 = 0 with accuracy 104 using a = -4 and b = 7. a) Using the bisection method b) Using the newton Raphson method
Transcribed Image Text:1) Use double precision, calculate the resulting values (format to 5 decimal places) a) 010000000111111010111001 2) Repeat exercise 1 using three-digit chopping arithmetic 3) Repeat exercise 1 using three-digit rounding arithmetic 4) Compute the absolute and relative error with the exact value from question 1 and its 3 digit rounding 5) f(x) = 2 (-1)^(1/²) k=1 Consider the infinite series: f(x)=(-1)*| What is the minimum number of terms needed to computer f(1) with error < 10-4? 6) Determine the number of iterations necessary to solve f(x) = x³ + 4x² − 10 = 0 with accuracy 104 using a = -4 and b = 7. a) Using the bisection method b) Using the newton Raphson method
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