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
Chapter3: Performing Calculations With Formulas And Functions
Section: Chapter Questions
Problem 3.5CP
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce515de5-1fac-4346-b9b4-b377b97902d4%2F6ff4672f-21a6-409b-9a28-7b99a985db6a%2F5uom07u_processed.png&w=3840&q=75)
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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