Question

Perform the following computations (i) exactly, (ii) using three-digit chopping arithmetic, and (iii) using three-digit rounding...

Perform the following computations (i) exactly, (ii) using three-digit chopping arithmetic, and (iii) using three-digit rounding arithmetic. Then compute the relative errors of the final results.

(a) 3/ 4 + 1 /5

(b) ( 3 /4 )( 1 /5 )

(c) ( 1 /3 − 3 /11 ) 4 5 + 3 20

(d) ( 1/ 3 + 3 /11 ) + 3/ 20

(e) Repeat (a) and (c), above, now using four digits. Does this give greater accuracy? Is a k + 1 digit computer always more accurate than a k digit one?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.    Returns Year X Y 1 11 %     22 %     2 29         43         3 18         -7         4 -19         -21         5 20         51             Calculate the arithmetic average return for X.     Calculate the arithmetic average return for Y.    Calculate the variance for X.     Calculate the variance for Y.   ...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.    Returns Year X Y 1 11 %     23 %     2 29         44         3 18         -10         4 -19         -24         5 20         52             Calculate the arithmetic average return for X. Calculate the arithmetic average return for Y. Calculate the variance for X. Calculate the variance for Y. Calculate the standard deviation...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Returns Year X Y 1 11 %     24 %     2 29         45         3 18         -12         4 -19         -26         5 20         53         Calculate the arithmetic average return for X? 11.80% is correct Calculate the arithmetic average return for Y? 16.80% is correct Need help with the rest: Calculate the variance for X....
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for...
Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.    Returns Year X Y 1 11 %     25 %     2 29         46         3 18         -7         4 -19         -21         5 20         54             Requirement 1: (a) Calculate the arithmetic average return for X. 9.56% 14.75% 14.40% 13.33% 11.80%     (b) Calculate the arithmetic average return for Y. 15.71% 24.25% 21.92% 23.67%...
What would the pseudocode be for this? The code for this has already been answered. I...
What would the pseudocode be for this? The code for this has already been answered. I need the pseudocode. Credit card numbers typically consist of 13, 15, or 16 digits. For example, 4690 3582 1375 4657 is a hypothetical credit card number. The first digit designates the system. In (3.1.1), the first digit, 4, shows that the card would be a Visa card. The following digits specify other information such as the account number and bank number. (The precise meaning...
For the data given below, forecast period 17 using following methods and suggest the best forecasting...
For the data given below, forecast period 17 using following methods and suggest the best forecasting model 1. Simple Moving Average (Three Period) 2. Weighted Average (50% on t-1, 30% on t-2, 20% on t-3) 3. Exponential Smoothing (α=.1), F1= y intercept from regression) 4. Exponential Smoothing (α=.3), F1= y intercept from regression) 5. Exponential Smoothing with trend (α=.3) and (δ=.3), F1= y intercept from regression)** 5. Exponential Smoothing with trend (α=.1) and (δ=.3), F1= y intercept from regression)** 6....
Solve each problems using Polya's four-step problem-solving strategy: 1. In the complex number system, i^1 =...
Solve each problems using Polya's four-step problem-solving strategy: 1. In the complex number system, i^1 = i; i^2 = -1; i^3 = -i; i^4 = 1; i^5 = i... Find i^173. 2. A coffee shop is giving away a signature annual planner. In the mechanics, each customer has to collect 24 stickers to avail of the said planner, and customers can share stickers. At the end of the promo period, John had a the most number of stickers, more than...
There are three firms in the chert industry. Their demand curves are linear and are given...
There are three firms in the chert industry. Their demand curves are linear and are given by the following equations. Qi = αi –βi Pi + δij Pj + δik Pk (i,j,k) = (1,2,3).You are given the following information about these firms. Firm 1 Firm 2 Firm 3 Prices 35.997 38.779 35.597 Outputs 319.95 175.599 211.94 Gross Margins .444 .226 .2976Furthermore, you are given the following diversion ratios:D12 = .25, D21 = .20, D13 = .25, D31 = .40, D23...
Base Conversion One algorithm for converting a base 10 number to another base b involves repeatedly...
Base Conversion One algorithm for converting a base 10 number to another base b involves repeatedly dividing by b. Each time a division is performed the remainder and quotient are saved. At each step, the dividend is the quotient from the preceding step; the divisor is always b. The algorithm stops when the quotient is 0. The number in the new base is the sequence of remainders in reverse order (the last one computed goes first; the first one goes...
Do the following problems. 1. Each of three barrels from a manufacturing line are classified as...
Do the following problems. 1. Each of three barrels from a manufacturing line are classified as either above (a) or below (b) the target weight. Provide the ordered sample space. 2. The heat on each of two soldered parts is measured and labeled as either low (l), medium (m), or high (h). State the number of elements in the ordered sample space. 3. Consider the set of Beatles songs with a primary writer as either Paul McCartney (P) or John...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT