CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY EXTENDED BINARY TEMPLATE EXERCISES PLEASE READ “The Extended Binary Template”, LOCATED IN THE CLASS 4 FOLDER ON BLACKBOARD. YOU MUST READ THIS HANDOUT BEFORE COMPLETING THE FOLLOWING THREE EXERCISES: Exercise 1 (1 pt.): Convert 111001.1112 to base ten using the extended binary template. Please write your answer in base ten. Exercise 2 (1 pt.): Convert 1101011.01112 to base ten using the extended binary template. Please write your answer in base ten. Exercise 3 (1 pt.): Convert 97.3310 to floating point binary, using the extended binary template. Please write your answer in floating point binary. NOTE: IF ANY OF THE ABOVE ANSWERS EXTEND BEYOND THE FOURTH BINARY POINT, THE TRUNCATE (DO NOT ROUND) AT THE FOURTH BINARY POINT. E.G.: 101.111010101 BECOMES 101.1110 . SIMILARLY, IF ANY OF THE ABOVE ANSWERS EXTEND BEYOND THE FOURTH DECIMAL POINT, THE TRUNCATE (DO NOT ROUND) AT THE FOURTH DECIMAL POINT. E.G.: 33.123456789 BECOMES 33.1234 LEFT AND RIGHT BIT PATTERN SHIFT EXERCISES PLEASE REVIEW LEFT AND RIGHT BIT PATTERN SHIFTS BEFORE COMPLETING THE FOLLOWING THREE EXERCISES: Exercise 4 (1 pt.): Start with the following 32 bit pattern stored in memory. Call this “Bit Pattern A”: 1110 1110 1001 0101 1111 1011 0101 1111 Now execute 19 LEFT SHIFTS ON BIT PATTERN A, TO PRODUCE BIT PATTERN B. Next, execute 22 RIGHT SHIFTS ON BIT PATTERN B, TO PRODUCE BIT PATTERN C Finally, write out Bit Pattern C, using the full 32 bits: CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY Exercise 5 (1 pt.): Start with the following 32 bit pattern stored in memory. Call this “Bit Pattern D”: 1111 0100 1110 0111 1010 0001 1000 1111 Now execute 17 LEFT SHIFTS ON BIT PATTERN D, TO PRODUCE BIT PATTERN E. Next, execute and additional 9 LEFT SHIFTS ON BIT PATTERN E, TO PRODUCE BIT PATTERN F Then, execute 7 RIGHT SHIFTS ON BIT PATTERN F, TO PRODUCE BIT PATTERN G Finally, write out Bit Pattern G, using the full 32 bits: Exercise 6 (1 pt.): Write out the 32 bit representation of the largest possible positive integer that can be represented with 30 bits. MATLAB MATRIX SYNTAX EXERCISES While it’s possible to simply key the following Matlab programs directly into Matlab, run them, and produce output (either clean output, or red error messages), DO NOT DO THAT. Why, you ask? Because you’ll encounter problems like these on future quizzes and exams. Since you won’t be permitted to use Matlab on quizzes and exams, you may suddenly find yourself unable to cope with quiz and exam problems, if you haven’t developed the ability to do these Matlab syntax exercises by hand! So it’s much better to get the practice you need now (when you have time to spare), rather than later, when time is a very precious commodity. Exercise 7 (1 pt.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY Exercise 8 (1 pt.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): Exercise 9 (1 pt.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): Exercise 10 (1 pt.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY MATLAB FOR LOOP SYNTAX EXERCISES While it’s possible to key the following Matlab programs directly into Matlab, run them, and produce output (either clean output, or red error messages), DO NOT DO THAT. Why, you ask? Because you’ll encounter problems like these on future quizzes and exams. Since you won’t be permitted to use Matlab on quizzes and exams, you may suddenly find yourself unable to cope with quiz and exam problems, if you haven’t developed the ability to do these Matlab syntax exercises by hand! So it’s much better to get the practice you need now (when you have time to spare), rather than later, when time is a very precious commodity. Exercise 11 (2 pts.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): Exercise 12 (2 pts.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY Exercise 13 (2 pts.): Predict the output that appears in Matlab’s command window when the following Matlab program is run (YOU MUST SHOW SOME WORK TO RECEIVE FULL CREDIT!): CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY MATLAB PROGRAMMING EXERCISE: CHEMICAL REACTION KINETICS NOTE: IN THIS MATLAB PROGRAMMING EXERCISE, WRITE THE PROGRAM FIRST BY HAND, ON PAPER (PART 1). THEN KEY YOUR PROGRAM INTO MATLAB, AND RUN IT TO PRODUCE THE REQUIRED OUTPUT IN THE BELOW TABLE (PART 2). “WORK” FOR THIS EXERCISE WILL CONSIST OF YOUR HANDWRITTEN PROGRAM AND A SCREENSHOT OF YOUR PROGRAM IN MATLAB THAT SHOWS OUTPUT FOR ONE ROW OF THE TABLE PRODUCED BY YOUR PROGRAM WHEN RUN. Exercise 14 (From Chemistry; 4 pts.) Molecule A decomposes to form either product molecule B or product molecule C. The concentrations of B and C over time are given by the following equations: 𝐶𝑜𝑛𝑐𝐵 = 𝑘1 (𝐶𝑜𝑛𝑐𝐴0 )( 1.0 − 𝑒 −(𝑘1 +𝑘2 )𝑡 ) 𝑘1 + 𝑘2 𝐶𝑜𝑛𝑐𝐶 = 𝑘2 (𝐶𝑜𝑛𝑐𝐴0 )( 1.0 − 𝑒 −(𝑘1 +𝑘2)𝑡 ) 𝑘1 + 𝑘2 Where: ConcB is the concentration of molecule B, as a function of time t (units: mol dm-1) ConcC is the concentration of molecule C, as a function of time t (units: mol dm-1) k1 is the first order rate constant for the unimolecular reaction A  B (units: s-1) k2 is the first order rate constant for the unimolecular reaction A  C (units: s-1) ConcA0 is the initial concentration of A (units: mol dm-1) t is time (units: s) (CONTINUED ON NEXT PAGE) CDS-130/06 SPRING 2018: HOMEWORK ASSIGNMENT #4 ASSIGNED 12 FEBRUARY 2018, DUE 19 FEBRUARY 2018, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY Write a Matlab program to compute the concentrations of B and C over time, as required in the following table: ConcBt ConcCt k1 300 300 250 250 150 75 k2 100 100 200 200 275 300 ConcA0 2 2 3 4 5 6 t 1.0e-03 0.1 1.0e-04 1.0e-03 1.5 1.0e-04 READING ASSIGNMENT: 1. PLEASE FINISH READING CHAPTERS 5, 6, 7 AND 8 IN THE “INTRODUCTION TO MATLAB” PRESENTATION. 2. PLEASE BEGIN READING CHAPTER 9 IN THE “INTRODUCTION TO MATLAB” PRESENTATION.
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