Suppose you need to work with and store the integer M-5857458478 on some device with very...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose you need to work with and store the integer M-5857458478 on some device with very limited power; the device cannot store any numbers larger than 100 or do any calculations with numbers larger than 100. But you need to do some basic arithmetic calculations with M on that device. You could store each digit of M in ten individual files and identify which file corresponds to which digit but then arithmetic calculations with M may be intricate: you want to find an easier approach. (i) Note that 2-3-5-7-11-13-17-19-23-29=6469693230 > M and use the Chinese Remainder Theorem to design an intelligent means to store M that will enable basic calculations with the ten digit number M. Be sure to explicitly state how M is stored. (ii) Use your design from (i) to calculate and store the outcome of the M-4927100893 on the device and explain how you arrived at your answer.. (iii) First, use your design from (i) to represent 44777 on the device and then use that representation to calculate the representation of the inverse of 44777 (mod M) and, then, finally, use that answer to represent the value of M/44777. (You should not be performing any division by 44777; you can only use operations the device can support as described in the question). Suppose you need to work with and store the integer M-5857458478 on some device with very limited power; the device cannot store any numbers larger than 100 or do any calculations with numbers larger than 100. But you need to do some basic arithmetic calculations with M on that device. You could store each digit of M in ten individual files and identify which file corresponds to which digit but then arithmetic calculations with M may be intricate: you want to find an easier approach. (i) Note that 2-3-5-7-11-13-17-19-23-29=6469693230 > M and use the Chinese Remainder Theorem to design an intelligent means to store M that will enable basic calculations with the ten digit number M. Be sure to explicitly state how M is stored. (ii) Use your design from (i) to calculate and store the outcome of the M-4927100893 on the device and explain how you arrived at your answer.. (iii) First, use your design from (i) to represent 44777 on the device and then use that representation to calculate the representation of the inverse of 44777 (mod M) and, then, finally, use that answer to represent the value of M/44777. (You should not be performing any division by 44777; you can only use operations the device can support as described in the question).
Expert Answer:
Answer rating: 100% (QA)
i To store the integer M 5857458478 using the Chinese Remainder Theorem we need to find a set of remainders that are relatively prime to each other an... View the full answer
Related Book For
Money Banking and Financial Markets
ISBN: 978-0078021749
4th edition
Authors: Stephen Cecchetti, Kermit Schoenholtz
Posted Date:
Students also viewed these general management questions
-
Suppose you need to take out a personal loan with a bank. Explain how you could be affected by problems in the interbank lending market such as those seen during the 2007-2009 financial crisis.
-
Suppose you need to assemble 72 Quickline Guest tables in one hour (see the photos on the next page). The assembly activities and their standard times are listed below. Using common sense, draw a...
-
Suppose you need to summarize ordinal data in a bar graph. How would you arrange the categories of data on the horizontal axis? Is it possible to make the order of the data apparent in a pie chart?
-
In Chapter 12 (p. 432), we described a study reporting that college students who are on Facebook (or have it running in the background) while studying had lower grades than students who did not use...
-
This graph shows facilitated diffusion of a compound across a cytoplasmic membrane and into a cell. As the external concentration of the compound is increased, the rate of uptake increases until it...
-
A sample of eight orthopedic patients on your unit includes two patients on intravenous anticoagulants, four patients on oral anticoagulants, and two patients on subcutaneous anticoagulants. Based on...
-
Between z = 1.96 and z = 0 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
-
Interpreting regression results, matching time periods, ethics Jayne Barbour is working as a summer intern at Mode, a trendy store specializing in clothing for twenty-some-things. Jayne has been...
-
1. Assume that you are the assistant manager of a medium-sized company. Luis Guerra has been part of the IT department for 5 years and has always demonstrated a high level of commitment when carrying...
-
A double pipe heat exchanger is made of a 6-nom sch 40 commercial steel outer pipe and a 5-nom sch 40S stainless steel inner pipe. The fluid in the annular space is cyclohexane that has a volumetric...
-
Income Statement The revenue from the current businesses will increase at an annual rate of 5.0% since 2020 The acquisition will add $75.0 million of incremental revenue in 2020 and the incremental...
-
Complete the following MRP table for Item X: Lot Size = MINIMUM of 50 Lead Time = 2 Gross Requirements Scheduled Receipts Projected on Hand 100 Net Requirements Planned Order Receipts Planned Order...
-
1) Most of Americans savings are stored in banks. Why might a credit union be a better place for your savings? 2) What distinguishes Certificates of Deposits (CD's) from the other types of savings...
-
Suppose Biogen stock has a beta of 0.6. Assume a risk-free interest rate of 2.5% and a market risk premium of 5.5%. What is the expected return of Biogen stock based on the Capital Asset Pricing...
-
Variable cost as a percentage of sales = 60% Unit Variable cost = $30 Fixed costs = $200,000 What is the break-even point in units? 195.A business had a margin of safety ratio of 20%, variable...
-
1. Why are financial intermediaries (financial markets and institutions) absolutely critical to the success of our economic system and individuals/companies within the system? What are some of the...
-
The transmission line is terminated with 50 load resistor. Power with is delivered into this load is -30 dBm. Calculate the magnitude of voltage drop across this load resistor
-
What is the difference between direct materials and indirect materials?
-
During the time of the currency board, Argentinean banks offered accounts in both dollars and pesos, but loans were made largely in pesos. Describe the impact on banks of the collapse of the currency...
-
If, after one year, the yield to maturity on a multi-year coupon bond that was issued at par is higher than the coupon rate, what happened to the price of the bond during that first year?
-
Consider the following information on the stock market in a small economy. a. Compute a price-weighted stock price index for the beginning of the year and the end of the year. What is the percentage...
-
What are the different methods of conducting marketing research?
-
What is the main difference between a full-service and a limited-service supplier?
-
What are some of the issues that should be considered when conducting marketing research?
Study smarter with the SolutionInn App