A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of loop is negligible. QUESTION: A) When leaving the field the coil experiences a magnetic force to the left. B) While the loop is entirely in the field, the emf in the loop is zero. C) When entering the field the coil experiences a magnetic force to the right. D) Upon leaving the field, a clockwise current flows in the loop. E) Upon entering the field, a clockwise current flows in the loop.

A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of loop is negligible. QUESTION: A) When leaving the field the coil experiences a magnetic force to the left. B) While the loop is entirely in the field, the emf in the loop is zero. C) When entering the field the coil experiences a magnetic force to the right. D) Upon leaving the field, a clockwise current flows in the loop. E) Upon entering the field, a clockwise current flows in the loop.

1 BACKGROUND The new generation of enhanced mid core PICs such as the 16F1847 and the 12F1840 have an inbuilt temperature sensor. This sensor consists of a current source which flows through four diodes in series and the voltage drop across the diodes which is proportional to temperature can be measured by internally connecting the sensor to the ADC and determining the temperature based on the ADC value In this assignment the temperature sensor is used to create a simple thermometer application and to create an alarm should the sensor go outside the set value. Assignment Details 1) Determine the register settings needed to switch the sensor on and connect the temperature sensor to the ADC. Using appropriate values for Vref+ and Vref- display the ADC count value on the 7 segment display. 2) With reference to Microchip Application Note AN1333, “Use and Calibration of the Internal Temperature Indicator” (DS01333) determine an appropriate algorithm to convert from the ADC value to the temperature in degrees centigrade and implement it using a lookup table or otherwise. Display this value on the 7 segment display. Additional marks will be given for accuracy, calibration and averaging the temperature readings to give a more accurate, and a more stable temperature reading. . 2 In order to meet the specification the following will be required. i) Selection of appropriate microcontroller to meet the requirement of the task. ii) Development of an assembly language program to control the operation of the embedded system. iii) Thorough testing to ensure correct operation of the system. iv) Produce a project report to evidence all of the above. Follow Report Requirements (20 pages max) 1) Introduction – Clearly state the scope and aims and objectives of the project: Include Aims and Objectives, i.e. break down the project into smaller attainable aims and objectives for example one objective could be to develop a program to control the LED display. If all objectives are met then the overall project should have been completed. 2) Theory – Include any relevant theory 3) Procedure, Results Discussion – The report should show a methodical, systematic design approach. The microcontroller kits in the laboratory can be used as the hardware platform, however circuit diagrams should be included in the report and explanations of operation is expected. 4) Include flowcharts and detailed explanations of software development. Include appropriate simulation screen shots. Show and discuss results e.g. ADC program, LED program, etc. Include final/complete program. Were results as expected, do they compare favourably with simulated results, what could be done to improve the operation and accuracy of the system? 5) Conclusion – Reflect back on the original aims and objectives. Were they met if not why not? What further work could be carried out to meet aims and objectives etc? 3 Marks ALLOCATION Marks are allocated for the given activities as follows: MARK (%) PROJECT WORK 60 PROJECT REPORT 30 PRESENTATION MARK 10 ______ Total 100 The marks awarded for the microcontrollers in embedded system module will be made up as follows:- PROJECT MARK Have all of the specifications been met? Correct Register settings to switch on sensor and connect temperature sensor to ADC 5% Display two different characters on the 7 segment display 5% Display the ADC count value on the 7 segment display 10% Display the temperature on the seven segment display 20% Calibration 10% Accuraccy 10% Total 60% REPORT MARK Introduction and Theory 5% Procedure, Results and Discussion 20% Report Presentation 5% Total 30% PRESENTATION (POWER POINT) & DEMO Demonstration 10% Total 10% TOTAL 100% 4 Schematic for the Assignment Seven Segment Display Code ;************************************************ ;Appropriate values to illuminate a seven segment display ;with numbers 0 – 9 are extracted from a look up table ;and output on PORTB. ;A software delay is incorporated between displaying ;successive values so that they can be observed. ;(This program is useful demonstrating software delays, ; and look up tables. ; ;************************************************ ; list p=16F1937A #include <p=16f1937.inc> ; ; ****** PROGRAM EQUATES ****** ; temp equ 0x20 value equ 0x21 outer equ 0x22 RB0 RB1 RB2 RB3 RB4 RB5 RB6 RB7 a b c d e f g dp RA1 RA0 +5V 16F84 VDD Vss 220Ω x 8 CA2 CA1 100K x 2 5K6 5K6 +5V +5V a b c d e f g a b c d e f g middle equ 0x23 inner equ 0x24 w equ 0 f equ 1 ; ; ; ****** MAIN PROGRAM ****** ; org 0x00 banksel PORTB clrf PORTB banksel ANSELB clrf ANSELB clrf ANSELA banksel TRISB movlw 0x00 ;Set port b all outputs movwf TRISB movlw 0x00 ;Set port a all inputs movwf TRISA banksel PORTB ; movlw 0x00 movwf PORTB ;turn off display ; ; ; **** DISPLAY COUNT SEQUENCE *** ; display movlw 0x00 ;Use value as a counter ie movwf value ;value is incremented every begin movf value,w ;time a value is extracted from table bsf PORTA,0 ;turn on LSB display call get ;call subroutine to get value movwf PORTB ;output value to portb call wait ;call delay subroutine incf value ;increment counter btfsc value,3 ;test to see if counter = %1010 btfss value,1 ;if not get next value, if yes goto begin ; goto display ;go to display again ; ; **** LOOK UP TABLE FOR VALUES **** ; get brw ;look up table to illuminate retlw 0xc0 ;the numbers 0 – 9 on seven segment retlw 0xf9 ;display (outputs from port are retlw 0xa4 ;active low retlw 0xb0 retlw 0x99 retlw 0x92 retlw 0x82 retlw 0xf8 retlw 0x80 retlw 0x90 ; ; **** TIME DELAY ROUTINE **** ; ( THREE NESTED LOOPS ) ; wait ;delay subroutine movlw 0x02 ;-outer loop movwf outer ; wait3 movlw 0 xff ; -middle loop movwf middle wait2 movlw 0xff ;-inner loop movwf inner wait1 decfsz inner,f goto wait1 ;-inner loop decfsz middle,f goto wait2 ;-middle loop decfsz outer,f goto wait3 ;-outer loop return end

1 BACKGROUND The new generation of enhanced mid core PICs such as the 16F1847 and the 12F1840 have an inbuilt temperature sensor. This sensor consists of a current source which flows through four diodes in series and the voltage drop across the diodes which is proportional to temperature can be measured by internally connecting the sensor to the ADC and determining the temperature based on the ADC value In this assignment the temperature sensor is used to create a simple thermometer application and to create an alarm should the sensor go outside the set value. Assignment Details 1) Determine the register settings needed to switch the sensor on and connect the temperature sensor to the ADC. Using appropriate values for Vref+ and Vref- display the ADC count value on the 7 segment display. 2) With reference to Microchip Application Note AN1333, “Use and Calibration of the Internal Temperature Indicator” (DS01333) determine an appropriate algorithm to convert from the ADC value to the temperature in degrees centigrade and implement it using a lookup table or otherwise. Display this value on the 7 segment display. Additional marks will be given for accuracy, calibration and averaging the temperature readings to give a more accurate, and a more stable temperature reading. . 2 In order to meet the specification the following will be required. i) Selection of appropriate microcontroller to meet the requirement of the task. ii) Development of an assembly language program to control the operation of the embedded system. iii) Thorough testing to ensure correct operation of the system. iv) Produce a project report to evidence all of the above. Follow Report Requirements (20 pages max) 1) Introduction – Clearly state the scope and aims and objectives of the project: Include Aims and Objectives, i.e. break down the project into smaller attainable aims and objectives for example one objective could be to develop a program to control the LED display. If all objectives are met then the overall project should have been completed. 2) Theory – Include any relevant theory 3) Procedure, Results Discussion – The report should show a methodical, systematic design approach. The microcontroller kits in the laboratory can be used as the hardware platform, however circuit diagrams should be included in the report and explanations of operation is expected. 4) Include flowcharts and detailed explanations of software development. Include appropriate simulation screen shots. Show and discuss results e.g. ADC program, LED program, etc. Include final/complete program. Were results as expected, do they compare favourably with simulated results, what could be done to improve the operation and accuracy of the system? 5) Conclusion – Reflect back on the original aims and objectives. Were they met if not why not? What further work could be carried out to meet aims and objectives etc? 3 Marks ALLOCATION Marks are allocated for the given activities as follows: MARK (%) PROJECT WORK 60 PROJECT REPORT 30 PRESENTATION MARK 10 ______ Total 100 The marks awarded for the microcontrollers in embedded system module will be made up as follows:- PROJECT MARK Have all of the specifications been met? Correct Register settings to switch on sensor and connect temperature sensor to ADC 5% Display two different characters on the 7 segment display 5% Display the ADC count value on the 7 segment display 10% Display the temperature on the seven segment display 20% Calibration 10% Accuraccy 10% Total 60% REPORT MARK Introduction and Theory 5% Procedure, Results and Discussion 20% Report Presentation 5% Total 30% PRESENTATION (POWER POINT) & DEMO Demonstration 10% Total 10% TOTAL 100% 4 Schematic for the Assignment Seven Segment Display Code ;************************************************ ;Appropriate values to illuminate a seven segment display ;with numbers 0 – 9 are extracted from a look up table ;and output on PORTB. ;A software delay is incorporated between displaying ;successive values so that they can be observed. ;(This program is useful demonstrating software delays, ; and look up tables. ; ;************************************************ ; list p=16F1937A #include ; ; ****** PROGRAM EQUATES ****** ; temp equ 0x20 value equ 0x21 outer equ 0x22 RB0 RB1 RB2 RB3 RB4 RB5 RB6 RB7 a b c d e f g dp RA1 RA0 +5V 16F84 VDD Vss 220Ω x 8 CA2 CA1 100K x 2 5K6 5K6 +5V +5V a b c d e f g a b c d e f g middle equ 0x23 inner equ 0x24 w equ 0 f equ 1 ; ; ; ****** MAIN PROGRAM ****** ; org 0x00 banksel PORTB clrf PORTB banksel ANSELB clrf ANSELB clrf ANSELA banksel TRISB movlw 0x00 ;Set port b all outputs movwf TRISB movlw 0x00 ;Set port a all inputs movwf TRISA banksel PORTB ; movlw 0x00 movwf PORTB ;turn off display ; ; ; **** DISPLAY COUNT SEQUENCE *** ; display movlw 0x00 ;Use value as a counter ie movwf value ;value is incremented every begin movf value,w ;time a value is extracted from table bsf PORTA,0 ;turn on LSB display call get ;call subroutine to get value movwf PORTB ;output value to portb call wait ;call delay subroutine incf value ;increment counter btfsc value,3 ;test to see if counter = %1010 btfss value,1 ;if not get next value, if yes goto begin ; goto display ;go to display again ; ; **** LOOK UP TABLE FOR VALUES **** ; get brw ;look up table to illuminate retlw 0xc0 ;the numbers 0 – 9 on seven segment retlw 0xf9 ;display (outputs from port are retlw 0xa4 ;active low retlw 0xb0 retlw 0x99 retlw 0x92 retlw 0x82 retlw 0xf8 retlw 0x80 retlw 0x90 ; ; **** TIME DELAY ROUTINE **** ; ( THREE NESTED LOOPS ) ; wait ;delay subroutine movlw 0x02 ;-outer loop movwf outer ; wait3 movlw 0 xff ; -middle loop movwf middle wait2 movlw 0xff ;-inner loop movwf inner wait1 decfsz inner,f goto wait1 ;-inner loop decfsz middle,f goto wait2 ;-middle loop decfsz outer,f goto wait3 ;-outer loop return end

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Faraday’s Law of Induction 1a. Problem 28.9 b. Problem 28.39 2. Problem 28.43 3. Problem 28.71 Inductance 4a. Problem 28.56 b. Estimate the magnetic energy stored in the first kilometer of atmosphere above Milwaukee. Compare your answer to the energy stored in a 15-gallon gas tank. ugasoline=120 M J/gal 5. Problem 28.65 Feel free to sketch by hand, rather than using a “spreadsheet program.” 6a. Problem 29.83 (From the next chapter!) b. If the power delivered to the residents is 20kW, how much current flows on either side of the transformer? c. The 2000-volt distribution lines have a total resistance of 3Ω, how much power is lost as thermal dissipation? How much would be lost if those same lines operated at 240V? Hint: Use your answers from part b to calculate the powers in part c… EC1: Problem 28.53 EC2: Problem 28.80

Faraday’s Law of Induction 1a. Problem 28.9 b. Problem 28.39 2. Problem 28.43 3. Problem 28.71 Inductance 4a. Problem 28.56 b. Estimate the magnetic energy stored in the first kilometer of atmosphere above Milwaukee. Compare your answer to the energy stored in a 15-gallon gas tank. ugasoline=120 M J/gal 5. Problem 28.65 Feel free to sketch by hand, rather than using a “spreadsheet program.” 6a. Problem 29.83 (From the next chapter!) b. If the power delivered to the residents is 20kW, how much current flows on either side of the transformer? c. The 2000-volt distribution lines have a total resistance of 3Ω, how much power is lost as thermal dissipation? How much would be lost if those same lines operated at 240V? Hint: Use your answers from part b to calculate the powers in part c… EC1: Problem 28.53 EC2: Problem 28.80

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Author Name: BIO 218 Natural History Paper General Formatting: (10%) • 1 Margins correct? • 1 Font correct? • 2 Double-spaced? • 2 Pages numbered? • 2 All sections included? • 2 At least 3 pages of text, not more than 5 pages? Project elements (50%) • Introduction: o 8 General background on topic and species (state scientific name!)? o 2 Goes from general to specific? • Review of Journal Articles: o 4 States topic and hypothesis/hypotheses described in articles? o 3 Reports how research was conducted? o 2 Describes specialized materials used? o 2 Discusses type(s) of data collected and how to be analyzed/compared/used? o 3 Reports what happened in the experiments? o 2 If comparisons made, discusses how they were made? o 2 Figure(s) reproduced and cited? o 2 Table(s) reproduced and cited? • Summary/Conclusion: o 10 Synthesizes the results of the experiments and ties the findings of the articles together? • Literature Cited: o 4 At least 3 journal articles (primary literature) used? o 2 References used in paper properly? o 2 References all listed in this section and formatted correctly? o 2 All references listed are in the body of the paper and all references in the body are listed in this section? *0.5% for each extra citation (>3) that is correctly used* Writing Elements (40%) • /15 Grammar or spelling errors? • /15 Writing is clear and flows logically throughout paper? • /10 Appropriate content in each section? Final Paper Total ( %) = /40 Comments:

Author Name: BIO 218 Natural History Paper General Formatting: (10%) • 1 Margins correct? • 1 Font correct? • 2 Double-spaced? • 2 Pages numbered? • 2 All sections included? • 2 At least 3 pages of text, not more than 5 pages? Project elements (50%) • Introduction: o 8 General background on topic and species (state scientific name!)? o 2 Goes from general to specific? • Review of Journal Articles: o 4 States topic and hypothesis/hypotheses described in articles? o 3 Reports how research was conducted? o 2 Describes specialized materials used? o 2 Discusses type(s) of data collected and how to be analyzed/compared/used? o 3 Reports what happened in the experiments? o 2 If comparisons made, discusses how they were made? o 2 Figure(s) reproduced and cited? o 2 Table(s) reproduced and cited? • Summary/Conclusion: o 10 Synthesizes the results of the experiments and ties the findings of the articles together? • Literature Cited: o 4 At least 3 journal articles (primary literature) used? o 2 References used in paper properly? o 2 References all listed in this section and formatted correctly? o 2 All references listed are in the body of the paper and all references in the body are listed in this section? *0.5% for each extra citation (>3) that is correctly used* Writing Elements (40%) • /15 Grammar or spelling errors? • /15 Writing is clear and flows logically throughout paper? • /10 Appropriate content in each section? Final Paper Total ( %) = /40 Comments:

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1) Humid air at 32 #176;C , 760 mmHg and 80 % relative humidity is fed to a cooling chamber at constant pressure to condense some of the water vapor out of the humid air. The exit air leaves at 4 #176;C, 760 mm Hg and 100% relative humidity. If the lquid condensate flows at a rate of 4 kg/h. Calculate the feed rate of humid air in SCMH? Vapor pressures of water at 32 #176;C and 4 #176;C are 35.7 mm Hg and 6.1 mm Hg respectively. Treat air as a mixture of two components: dry air and water vapor.

1) Humid air at 32 #176;C , 760 mmHg and 80 % relative humidity is fed to a cooling chamber at constant pressure to condense some of the water vapor out of the humid air. The exit air leaves at 4 #176;C, 760 mm Hg and 100% relative humidity. If the lquid condensate flows at a rate of 4 kg/h. Calculate the feed rate of humid air in SCMH? Vapor pressures of water at 32 #176;C and 4 #176;C are 35.7 mm Hg and 6.1 mm Hg respectively. Treat air as a mixture of two components: dry air and water vapor.

EE214 Fall 2015 Problem Set1 I am submitting my own work in this exercise, and I am aware of the penalties for cheating that will be assessed if I submit work for credit that is not my own. Print Name Sign Name Date Contains material © Digilent, Inc. 7 pages 1. (15 points) Below are some circuit elements from a simple digital system. 3.3V 20mA VB 1Kohm VA 1.3V RB 1K RC RD SW1 SW2 RA VC When the pushbutton SW1 is not pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what current flows in the 1K resistor RA? (1pt) When SW1 is pressed, what power is dissipated in RA? (2pt) In the LED circuit, 1.3V is required at VB to forward-bias the LED and cause current to flow. Given there is a 1.3V drop across the LED, what resistance RB is required for 20mA to flow through the LED? (2pt) What power is dissipated in the LED? (1pt) In the circuit on the far right, if RC dissipates 25mW, what is VC? (2pt) Using the VC voltage you calculated, if RC is changed to 100Ohms, how much power would it dissipate? (2pt) Using the VC voltage you calculated and a 1K RC, if pressing SW2 causes the total circuit power to increase to 75mW, what value must RD be? (3pt) EE214 Problem Set 1 2. (20 points) Complete the truth tables below. Provide SOP equations for the bottom three tables. F <= Σ ( ) F <= Σ ( ) F <= Σ ( ) 3. (12 points) Write the number of transistors required for each logic gate below inside the gate symbol, and then write the logic gate name below the symbol. 4. (12 points) Complete truth tables for the circuits shown below A B F AND A B F OR A B F XOR A F INV A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ̅ ∙ ? + ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙ ? ∙? ̅ + ? ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙? ̅+? ̅ ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A F B C A B C Y EE214 Problem Set 1 5. (18 points) Show the total transistor count and gate/input number for the circuits below. Then sketch equivalent circuits using NAND gates that use fewer transistors (do not minimize the circuits). 6. (12 points) Sketch circuits for the following logic equations F = A̅ ∙ B ∙ C + A ∙B̅ ∙C̅ +A̅ ∙ C F = A̅ ∙ B ∙C̅ ̅̅̅̅̅̅̅̅̅̅ + ̅A̅̅+̅̅̅B̅ F = (? +? ̅ ) ∙ ̅̅?̅̅̅̅̅+̅̅̅̅̅̅̅?̅̅̅∙̅̅?̅̅ G AB C D AB C D H G F F AB C EE214 Problem Set 1 7. (22 points) Sketch a circuit similar to the figure below that asserts logic 1 only when both switches are closed. Label the switches 1 and 2, and complete the truth table below. Then circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. Sketch a circuit similar to the figure below that asserts logic 0 whenever one or both switches are closed. Label the switches 1 and 2, and complete the truth table below. Circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. 8. (4 points) Complete the following. A pFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). An nFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). Vdd GND F SW1 SW2 Vdd GND F SW1 SW2 SW1 SW2 F SW1 SW2 F EE214 Problem Set 1 9. (8 points) Sketch circuits and write Verilog assignment statements for the following equations. F = m(1, 2, 6) F = M(0, 7) 10. (21 points) Complete the truth tables below (enter “on” or “off” under each transistor entry, and “1” or “0” for output F), and enter the gate name and schematic shapes in the tables. You get 1/2 point for each correct column, and 1/2 point each for correct names and shapes. Q1 Q2 Q3 Q4 A B F Vdd Q2 Q1 Q3 Q4 A B F Vdd A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape EE214 Problem Set 1 Q2 Q1 Q3 Q4 A B F Q5 Q6 Vdd Q1 Q2 Q3 Q4 A B F Q5 Q6 Vdd (2 points) Enter the logic equation for the 3-input circuit above: A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B C Q1 Q2 Q3 Q4 Q5 Q6 F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 F = Q1 Q2 Q4 Q5 A B F Q6 Vdd C Q3 EE214 Problem Set 1 11. (20 points) In a logic function with n inputs, there are 2? unique combinations of inputs and 22? possible logic functions. The table below has four rows that show the four possible combinations of two inputs (22 = 4), and 16 output columns that show all possible two-input logic function (222 = 16). Six of these output columns are associated with common logic functions of two variables. Circle the six columns, and label them with the appropriate logic gate name. Draw the circuit symbols for the functions represented. INPUTS ALL POSSIBLE FUNCTIONS A B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 A table like the one above for 3 inputs would need _________ rows and _________ columns. A table like the one above for 4 inputs would need _________ rows and _________ columns. A table like the one above for 5 inputs would need _________ rows and _________ columns. 12. (15 points) Find global minimum circuits for the following three logic signal outputs that are all functions of the same three inputs. Show all work. F1 =  m (0, 3, 4) F2 =  m (1, 6, 7) F3 =  m (0, 1, 3, 4)

EE214 Fall 2015 Problem Set1 I am submitting my own work in this exercise, and I am aware of the penalties for cheating that will be assessed if I submit work for credit that is not my own. Print Name Sign Name Date Contains material © Digilent, Inc. 7 pages 1. (15 points) Below are some circuit elements from a simple digital system. 3.3V 20mA VB 1Kohm VA 1.3V RB 1K RC RD SW1 SW2 RA VC When the pushbutton SW1 is not pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what current flows in the 1K resistor RA? (1pt) When SW1 is pressed, what power is dissipated in RA? (2pt) In the LED circuit, 1.3V is required at VB to forward-bias the LED and cause current to flow. Given there is a 1.3V drop across the LED, what resistance RB is required for 20mA to flow through the LED? (2pt) What power is dissipated in the LED? (1pt) In the circuit on the far right, if RC dissipates 25mW, what is VC? (2pt) Using the VC voltage you calculated, if RC is changed to 100Ohms, how much power would it dissipate? (2pt) Using the VC voltage you calculated and a 1K RC, if pressing SW2 causes the total circuit power to increase to 75mW, what value must RD be? (3pt) EE214 Problem Set 1 2. (20 points) Complete the truth tables below. Provide SOP equations for the bottom three tables. F <= Σ ( ) F <= Σ ( ) F <= Σ ( ) 3. (12 points) Write the number of transistors required for each logic gate below inside the gate symbol, and then write the logic gate name below the symbol. 4. (12 points) Complete truth tables for the circuits shown below A B F AND A B F OR A B F XOR A F INV A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ̅ ∙ ? + ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙ ? ∙? ̅ + ? ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙? ̅+? ̅ ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A F B C A B C Y EE214 Problem Set 1 5. (18 points) Show the total transistor count and gate/input number for the circuits below. Then sketch equivalent circuits using NAND gates that use fewer transistors (do not minimize the circuits). 6. (12 points) Sketch circuits for the following logic equations F = A̅ ∙ B ∙ C + A ∙B̅ ∙C̅ +A̅ ∙ C F = A̅ ∙ B ∙C̅ ̅̅̅̅̅̅̅̅̅̅ + ̅A̅̅+̅̅̅B̅ F = (? +? ̅ ) ∙ ̅̅?̅̅̅̅̅+̅̅̅̅̅̅̅?̅̅̅∙̅̅?̅̅ G AB C D AB C D H G F F AB C EE214 Problem Set 1 7. (22 points) Sketch a circuit similar to the figure below that asserts logic 1 only when both switches are closed. Label the switches 1 and 2, and complete the truth table below. Then circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. Sketch a circuit similar to the figure below that asserts logic 0 whenever one or both switches are closed. Label the switches 1 and 2, and complete the truth table below. Circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. 8. (4 points) Complete the following. A pFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). An nFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). Vdd GND F SW1 SW2 Vdd GND F SW1 SW2 SW1 SW2 F SW1 SW2 F EE214 Problem Set 1 9. (8 points) Sketch circuits and write Verilog assignment statements for the following equations. F = m(1, 2, 6) F = M(0, 7) 10. (21 points) Complete the truth tables below (enter “on” or “off” under each transistor entry, and “1” or “0” for output F), and enter the gate name and schematic shapes in the tables. You get 1/2 point for each correct column, and 1/2 point each for correct names and shapes. Q1 Q2 Q3 Q4 A B F Vdd Q2 Q1 Q3 Q4 A B F Vdd A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape EE214 Problem Set 1 Q2 Q1 Q3 Q4 A B F Q5 Q6 Vdd Q1 Q2 Q3 Q4 A B F Q5 Q6 Vdd (2 points) Enter the logic equation for the 3-input circuit above: A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B C Q1 Q2 Q3 Q4 Q5 Q6 F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 F = Q1 Q2 Q4 Q5 A B F Q6 Vdd C Q3 EE214 Problem Set 1 11. (20 points) In a logic function with n inputs, there are 2? unique combinations of inputs and 22? possible logic functions. The table below has four rows that show the four possible combinations of two inputs (22 = 4), and 16 output columns that show all possible two-input logic function (222 = 16). Six of these output columns are associated with common logic functions of two variables. Circle the six columns, and label them with the appropriate logic gate name. Draw the circuit symbols for the functions represented. INPUTS ALL POSSIBLE FUNCTIONS A B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 A table like the one above for 3 inputs would need _________ rows and _________ columns. A table like the one above for 4 inputs would need _________ rows and _________ columns. A table like the one above for 5 inputs would need _________ rows and _________ columns. 12. (15 points) Find global minimum circuits for the following three logic signal outputs that are all functions of the same three inputs. Show all work. F1 =  m (0, 3, 4) F2 =  m (1, 6, 7) F3 =  m (0, 1, 3, 4)

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Tornado Eddy Investigation Abstract The objective of this lab was to write a bunch of jibberish to provide students with a formatting template. Chemical engineering, bioengineering, and environmental engineering are “process engineering” disciplines. Good abstracts contains real content, such as 560 mL/min, 35 deg, and 67 percent yield. Ideal degreed graduates are technically strong, bring broad system perspectives to problem solving, and have the professional “soft skills” to make immediate contributions in the workplace. The senior lab sequence is the “capstone” opportunity to realize this ideal by integrating technical skills and developing professional soft skills to ensure workforce preparedness. The best conclusions are objective and numerical, such as operating conditions of 45 L/min at 32 deg C with expected costs of $4.55/lb. Background Insect exchange processes are often used in bug filtration, as they are effective at removing either positive or negative insects from water. An insect exchange column is a packed or fluidized bed filled with resin beads. Water flows through the column and most of the insects from the water enter the beads, but some of them pass in between the beads, which makes the exchange of insects non-ideal. Insectac 249 resin is a cation exchange resin, as it is being used to attract cationic Ca2+ from the toxic waste stream. This means the resin is negatively charged, and needs to be regenerated with a solution that produces positively charged insects, in this case, salt water which contains Na+ insects. The resin contains acidic styrene backbones which capture the cationic insects in a reversible process. A curve of Ca2+ concentration concentration vs. time was obtained after a standard curve was made to determine how many drops from the low cost barium test kit from Aquarium Pharmaceuticals (API)1 bottle #2 would correspond to a certain concentration in solution. A standard curve works by preparing solutions with known concentrations and testing these concentrations using the kit to create a curve of number of drops from bottle #2 (obtained result) vs. concentration of Ca2+ in solution (desired response). The standard curve can then be used for every test on the prototype and in the field, to quickly and accurately obtain a concentration from the test kit. The barium concentration vs. time curve can be used to calculate the exchange capacity of the resin and, in later tests, the regeneration efficiency. The curves must be used to get the total amount of barium removed from the water, m. Seen in Equation 2, the volumetric flow rate of water, , is multiplied by the integral from tinitial to tfinal of the total concentration of Ca2+ absorbed by the resin as a function of time, C. (2) 1 http://aquariumpharm.com/Products/Product.aspx?ProductID=72 , date accessed: 11/26/10 CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 9 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE A graphical trapezoid method was used to evaluate the integral and get the final solution in equivalents of Ca2+ per L, it must be noted that there are 2 equivalents per mole of barium, as the charge of the barium insect is +2. An initial exchange capacity was calculated for the virgin resin, and an adjusted exchange capacity was calculated once the resin was regenerated. The regenerated resin capacity was found by multiplying the virgin resin capacity by the regeneration efficiency, expressed in Equation 3. (3) See Appendix A for the calculation of the exchange capacities and the regeneration efficiency. Materials and Methods Rosalie and Peter Johnson of Corvallis established the Linus Pauling Chair in Chemical Engineering to honor Oregon State University’s most famous graduate. Peter Johnson, former President and owner of Tekmax, Inc., a company which revolutionized battery manufacturing equipment, is a 1955 graduate of the College of Engineering.2 The Chair, also known as the Linus Pauling Distinguished Engineer or Linus Pauling Engineer (LPE), was originally designed to focus on the traditional “capstone” senior lab sequence in the former Department of Chemical Engineering. The focus is now extended to all the process engineering disciplines. The LPE is charged with establishing strong ties with industry, ensuring current and relevant laboratory experiences, and helping upperclass students develop skills in communication, teamwork, project management, and leadership. Include details about lab procedures not sufficiently detailed in the SOP, problems you had, etc. The bulk solution prepared to create the standard curve was used in the second day of testing to obtain the exchange capacity of the insectac 249 resin. The solution was pumped through a bathroom scale into the prototype insect exchange column. 45 mL of resin was rinsed and added to the column. The bed was fluidized as the solution was pumped through the resin, but for the creation of the Ca2+ concentration vs. time curve, the solution was pumped down through the column, as illustrated in the process flow diagram seen in Figure 1. Figure 1. Process sketch of the insect exchange column used for the project. Ref: http://www.generon.co.uk/acatalog/Chromatography.html 2 Harding, P. Viscosity Measurement SOP, Spring, 2010. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 10 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE A bathroom scale calibration curve was created to ensure that the 150 mL/min, used to calculate the breakthrough time, would be delivered to the resin. The bathroom scale used was a Dwyer brand with flowrates between 0 and 300 cc/min of water. Originally, values between 120 and 180 mL/min were chosen for the calibration, with three runs for each flowrate, however the bathroom scale values were so far away from the measure values the range was extended to 100 to 200 mL/min. The regeneration experiment was performed using a method similar to that used in the water softening experiment, however instead of using a 640 ppm Ca2+ solution to fill the resin, a 6000 ppm Na+ solution was used to eject the Ca2+ from the resin. Twelve samples times were chosen and adjusted as the experiment progressed, with more than half of the samples taken at times less than 10 minutes, and the last sample taken at 45 minutes. The bulk exit solution was also tested to determine the regeneration efficiency. Results and Discussion The senior lab sequence has its roots in the former Department of Chemical Engineering. CHE 414 and 415 were taught in Winter and Spring and included 6 hours of lab time per week. The School has endeavored to incorporate the courses into the BIOE and ENVE curriculum, and this will be complete in 2008-2009. Recent development of the senior lab course sequence is shown chronologically in Fig. 1. In 2006-2007, CHE 414 and 415 were moved to Fall and Winter to enable CHE 416, an elective independent senior project course. Also that year, BIOE students took BIOE 414 in the Fall and BIOE 415 was developed and taught. No BIOE students enrolled in the optional CHE. In 2007-2008, the program transitioned in a new Linus Pauling Engineer and ENVE 414 was offered. Also, approximately 30 percent of BIOE students enrolled in the optional CHE 416. Accommodating the academic calendars of the three disciplines required a reduction in weekly student lab time from 6 to 3 hours. The expected relationship between coughing rate, y, and length of canine, x, is Bx z y Fe− (1) where F is a pre-exponential constant, B is vitamin B concentration and z is the height of an average trapeze artist. 3 The 2008-2009 brings the challenge of the dramatic enrollment increase shown in Fig. 1 and the first offering of ENVE 415. The result, shown on the right in Fig. 1, is the delivery of the senior lab sequence uniformly across the process engineering disciplines. CBEE 416 is expected to drawn approximately of the students that take the 415 courses. In 2007-2008, 414 and 415 were required for CHEs, 414 and 415 for BIOEs, and only 414 for ENVEs. CHE 416 is ostensibly an elective for all disciplines. In 2008-2009, 414 and 415 is required for all disciplines and CHE 416 will be an elective. The content of 414 is essentially 3 Fundamentals of Momentum, Heat, and Mass Transfer, Welty, J.R. et al., 4th edition, John Wiley & Sons, Inc. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 11 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE identical for all three disciplines, 415 has discipline-specific labs, and 416 consists of senior projects with potentially cross-discipline teams of 2 to 4 students. Tremendous labor and struggling with the lab equipment resulted in the data shown in y = –‐0.29x + 1.71 y = –‐0.25x + 2.03 y = –‐0.135x + 2.20 –‐1.5 –‐1.0 –‐0.5 0.0 0.5 1.0 1.5 2.0 2.5 0 2 4 6 8 10 ln y (units) x (units) ln y_1 ln y_2 ln y_3 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 Case 1 Case 2 Case 3 Slope (units) (a) (b) Figure 1. (a) Data for y and x plotted for various values of z and (b) a comparison of slopes for the 3 cases investigate. The log plot slope yields the vitamin B concentration. The slopes were shown to be significantly at the 90% confidence level, but the instructor ran out of time and did not include error bars. The slope changed as predicted by the Snirtenhoffer equation. Improvements to the lab might include advice on how to legally change my name to something less embarrassing. My whole life I have been forced to repeat and spell it. I really feel that this has affected my psychologically. This was perhaps the worst lab I have ever done in my academic career, primarily due to the fact that there was no lab time. I simply typed in this entire report and filled it with jibberish. Some might think nobody will notice, but I know that …… Harding reads every word. Acknowledgments The author acknowledges his elementary teacher for providing truly foundational instruction in addition and subtraction. Jenny Burninbalm was instrumental with guidance on use of the RT-345 dog scratching device. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 12

Tornado Eddy Investigation Abstract The objective of this lab was to write a bunch of jibberish to provide students with a formatting template. Chemical engineering, bioengineering, and environmental engineering are “process engineering” disciplines. Good abstracts contains real content, such as 560 mL/min, 35 deg, and 67 percent yield. Ideal degreed graduates are technically strong, bring broad system perspectives to problem solving, and have the professional “soft skills” to make immediate contributions in the workplace. The senior lab sequence is the “capstone” opportunity to realize this ideal by integrating technical skills and developing professional soft skills to ensure workforce preparedness. The best conclusions are objective and numerical, such as operating conditions of 45 L/min at 32 deg C with expected costs of $4.55/lb. Background Insect exchange processes are often used in bug filtration, as they are effective at removing either positive or negative insects from water. An insect exchange column is a packed or fluidized bed filled with resin beads. Water flows through the column and most of the insects from the water enter the beads, but some of them pass in between the beads, which makes the exchange of insects non-ideal. Insectac 249 resin is a cation exchange resin, as it is being used to attract cationic Ca2+ from the toxic waste stream. This means the resin is negatively charged, and needs to be regenerated with a solution that produces positively charged insects, in this case, salt water which contains Na+ insects. The resin contains acidic styrene backbones which capture the cationic insects in a reversible process. A curve of Ca2+ concentration concentration vs. time was obtained after a standard curve was made to determine how many drops from the low cost barium test kit from Aquarium Pharmaceuticals (API)1 bottle #2 would correspond to a certain concentration in solution. A standard curve works by preparing solutions with known concentrations and testing these concentrations using the kit to create a curve of number of drops from bottle #2 (obtained result) vs. concentration of Ca2+ in solution (desired response). The standard curve can then be used for every test on the prototype and in the field, to quickly and accurately obtain a concentration from the test kit. The barium concentration vs. time curve can be used to calculate the exchange capacity of the resin and, in later tests, the regeneration efficiency. The curves must be used to get the total amount of barium removed from the water, m. Seen in Equation 2, the volumetric flow rate of water, , is multiplied by the integral from tinitial to tfinal of the total concentration of Ca2+ absorbed by the resin as a function of time, C. (2) 1 http://aquariumpharm.com/Products/Product.aspx?ProductID=72 , date accessed: 11/26/10 CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 9 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE A graphical trapezoid method was used to evaluate the integral and get the final solution in equivalents of Ca2+ per L, it must be noted that there are 2 equivalents per mole of barium, as the charge of the barium insect is +2. An initial exchange capacity was calculated for the virgin resin, and an adjusted exchange capacity was calculated once the resin was regenerated. The regenerated resin capacity was found by multiplying the virgin resin capacity by the regeneration efficiency, expressed in Equation 3. (3) See Appendix A for the calculation of the exchange capacities and the regeneration efficiency. Materials and Methods Rosalie and Peter Johnson of Corvallis established the Linus Pauling Chair in Chemical Engineering to honor Oregon State University’s most famous graduate. Peter Johnson, former President and owner of Tekmax, Inc., a company which revolutionized battery manufacturing equipment, is a 1955 graduate of the College of Engineering.2 The Chair, also known as the Linus Pauling Distinguished Engineer or Linus Pauling Engineer (LPE), was originally designed to focus on the traditional “capstone” senior lab sequence in the former Department of Chemical Engineering. The focus is now extended to all the process engineering disciplines. The LPE is charged with establishing strong ties with industry, ensuring current and relevant laboratory experiences, and helping upperclass students develop skills in communication, teamwork, project management, and leadership. Include details about lab procedures not sufficiently detailed in the SOP, problems you had, etc. The bulk solution prepared to create the standard curve was used in the second day of testing to obtain the exchange capacity of the insectac 249 resin. The solution was pumped through a bathroom scale into the prototype insect exchange column. 45 mL of resin was rinsed and added to the column. The bed was fluidized as the solution was pumped through the resin, but for the creation of the Ca2+ concentration vs. time curve, the solution was pumped down through the column, as illustrated in the process flow diagram seen in Figure 1. Figure 1. Process sketch of the insect exchange column used for the project. Ref: http://www.generon.co.uk/acatalog/Chromatography.html 2 Harding, P. Viscosity Measurement SOP, Spring, 2010. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 10 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE A bathroom scale calibration curve was created to ensure that the 150 mL/min, used to calculate the breakthrough time, would be delivered to the resin. The bathroom scale used was a Dwyer brand with flowrates between 0 and 300 cc/min of water. Originally, values between 120 and 180 mL/min were chosen for the calibration, with three runs for each flowrate, however the bathroom scale values were so far away from the measure values the range was extended to 100 to 200 mL/min. The regeneration experiment was performed using a method similar to that used in the water softening experiment, however instead of using a 640 ppm Ca2+ solution to fill the resin, a 6000 ppm Na+ solution was used to eject the Ca2+ from the resin. Twelve samples times were chosen and adjusted as the experiment progressed, with more than half of the samples taken at times less than 10 minutes, and the last sample taken at 45 minutes. The bulk exit solution was also tested to determine the regeneration efficiency. Results and Discussion The senior lab sequence has its roots in the former Department of Chemical Engineering. CHE 414 and 415 were taught in Winter and Spring and included 6 hours of lab time per week. The School has endeavored to incorporate the courses into the BIOE and ENVE curriculum, and this will be complete in 2008-2009. Recent development of the senior lab course sequence is shown chronologically in Fig. 1. In 2006-2007, CHE 414 and 415 were moved to Fall and Winter to enable CHE 416, an elective independent senior project course. Also that year, BIOE students took BIOE 414 in the Fall and BIOE 415 was developed and taught. No BIOE students enrolled in the optional CHE. In 2007-2008, the program transitioned in a new Linus Pauling Engineer and ENVE 414 was offered. Also, approximately 30 percent of BIOE students enrolled in the optional CHE 416. Accommodating the academic calendars of the three disciplines required a reduction in weekly student lab time from 6 to 3 hours. The expected relationship between coughing rate, y, and length of canine, x, is Bx z y Fe− (1) where F is a pre-exponential constant, B is vitamin B concentration and z is the height of an average trapeze artist. 3 The 2008-2009 brings the challenge of the dramatic enrollment increase shown in Fig. 1 and the first offering of ENVE 415. The result, shown on the right in Fig. 1, is the delivery of the senior lab sequence uniformly across the process engineering disciplines. CBEE 416 is expected to drawn approximately of the students that take the 415 courses. In 2007-2008, 414 and 415 were required for CHEs, 414 and 415 for BIOEs, and only 414 for ENVEs. CHE 416 is ostensibly an elective for all disciplines. In 2008-2009, 414 and 415 is required for all disciplines and CHE 416 will be an elective. The content of 414 is essentially 3 Fundamentals of Momentum, Heat, and Mass Transfer, Welty, J.R. et al., 4th edition, John Wiley & Sons, Inc. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 11 Josephine Hornsnogger CBEE 414, Lab Section M 1300–‐1550 April 19, 2010 Oregon State University School of CBEE identical for all three disciplines, 415 has discipline-specific labs, and 416 consists of senior projects with potentially cross-discipline teams of 2 to 4 students. Tremendous labor and struggling with the lab equipment resulted in the data shown in y = –‐0.29x + 1.71 y = –‐0.25x + 2.03 y = –‐0.135x + 2.20 –‐1.5 –‐1.0 –‐0.5 0.0 0.5 1.0 1.5 2.0 2.5 0 2 4 6 8 10 ln y (units) x (units) ln y_1 ln y_2 ln y_3 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 Case 1 Case 2 Case 3 Slope (units) (a) (b) Figure 1. (a) Data for y and x plotted for various values of z and (b) a comparison of slopes for the 3 cases investigate. The log plot slope yields the vitamin B concentration. The slopes were shown to be significantly at the 90% confidence level, but the instructor ran out of time and did not include error bars. The slope changed as predicted by the Snirtenhoffer equation. Improvements to the lab might include advice on how to legally change my name to something less embarrassing. My whole life I have been forced to repeat and spell it. I really feel that this has affected my psychologically. This was perhaps the worst lab I have ever done in my academic career, primarily due to the fact that there was no lab time. I simply typed in this entire report and filled it with jibberish. Some might think nobody will notice, but I know that …… Harding reads every word. Acknowledgments The author acknowledges his elementary teacher for providing truly foundational instruction in addition and subtraction. Jenny Burninbalm was instrumental with guidance on use of the RT-345 dog scratching device. CBEE 102: ENGINEERING PROBLEM SOLVING AND COMPUTATIONS PROJECT DESCRIPTION 12

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