Construct a full-subtractor logic circuit using only NAND-gates? Using Electronic Workbench.

Answers

Answer 1

A full-subtractor logic circuit can be constructed using only NAND gates. The circuit takes two binary inputs (A and B) representing the minuend and subtrahend, respectively, and a borrow-in (Bin) input.

It produces a difference output (D) and a borrow-out (Bout) output. The circuit consists of three stages: the XOR stage, the NAND stage, and the OR stage. In the XOR stage, two NAND gates are used to create an XOR gate. The XOR gate takes inputs A and B and produces a temporary output (T1).  In the NAND stage, three NAND gates are used. The first NAND gate takes inputs A, B, and Bin and produces an intermediate output (T2). The second NAND gate takes inputs T1 and Bin and produces another intermediate output (T3). The third NAND gate takes inputs T1, T2, and T3 and produces the difference output (D). In the OR stage, two NAND gates are used. The first NAND gate takes inputs T1 and Bin and produces an intermediate output (T4). The second NAND gate takes inputs T2 and T3 and produces the borrow-out output (Bout).

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Related Questions

Technician A says transmission fluid overheating can be caused by a defect in the engine cooling system. Technician B says transmission cooler leaks can be diagnosed by removing and plugging the radiator hose inlet and outlet, then pressurizing the radiator with 50 to 70 psi of shop air while checking for bubbles in the transmission fluid. Who is correct

Answers

Technician A is correct.

Technician A's statement that transmission fluid overheating can be caused by a defect in the engine cooling system is accurate. The engine cooling system is responsible for regulating the temperature of various components, including the transmission. If there is a defect in the engine cooling system, such as a malfunctioning radiator, thermostat, or coolant leak, it can lead to inadequate cooling and cause the transmission fluid to overheat. Overheated transmission fluid can result in damage to the transmission and its components, affecting the overall performance and reliability of the vehicle.

Technician B's statement about diagnosing transmission cooler leaks is also correct. To identify transmission cooler leaks, one method involves removing and plugging the radiator hose inlet and outlet, then pressurizing the radiator with 50 to 70 psi of shop air. By doing so, any leaks in the transmission cooler will cause bubbles to form in the transmission fluid, indicating a leak in the cooler system. This diagnostic method helps in pinpointing the source of the leak and allows for necessary repairs or replacements to be made.

Both technicians provide accurate information related to the transmission system, albeit addressing different aspects. Technician A emphasizes the link between transmission fluid overheating and engine cooling system defects, while Technician B focuses on diagnosing transmission cooler leaks. Therefore, both technicians are correct in their respective statements.

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2.14 LAB: Using math functions

Given three floating-point numbers x, y, and z, output the square root of x, the absolute value of (y minus z) , and the factorial of (the ceiling of z).


Output each floating-point value with two digits after the decimal point, which can be achieved as follows:

print('%0.2f %0.2f %0.2f' % (your_value1, your_value2, your_value3))


Ex: If the input is:


5.0

6.5

3.2

Then the output is:


2.24 3.30 24.00

Answers

Answer:

In Java:

import java.util.Scanner;

import java.lang.Math;

public class MyClass {

   public static void main(String args[]) {

     Scanner input = new Scanner(System.in);

     float x, y, z;

     System.out.print("Enter three numbers: ");

     x = input.nextFloat();      y = input.nextFloat();      z = input.nextFloat();

     

     System.out.print("Square root of x: ");

     System.out.printf("%.2f",Math.sqrt(x));

     System.out.println();

     

     System.out.print("Absolute of y - z: ");

     System.out.printf("%.2f",Math.abs(y - z));

     System.out.println();

int fact = 1;

     for(int i = 1;i<=(int)Math.ceil(z);i++){

         fact*=i;

     }

     

     System.out.print("Factorial of z: "+fact);    

   }

}

Explanation:

This line declares x, y and z as float

     float x, y, z;

This line prompts user for three numbers

     System.out.print("Enter three numbers: ");

The next line get input for x, y and z

     x = input.nextFloat();      y = input.nextFloat();      z = input.nextFloat();

     

The italicized prints the square root of x rounded to 2 decimal places

     System.out.print("Square root of x: ");

     System.out.printf("%.2f",Math.sqrt(x));

     System.out.println();

The italicized prints the absolute of y - z to 2 decimal places      

     System.out.print("Absolute of y - z: ");

     System.out.printf("%.2f",Math.abs(y - z));

     System.out.println();

This initializes fact to 1

int fact = 1;

The following iteration calculates the factorial of ceil z

     for(int i = 1;i<=(int)Math.ceil(z);i++){

         fact*=i;

     }

     This prints the calculated factorial

     System.out.print("Factorial of z: "+fact);    

   }

}

What are the benefits of using the engineering design process

Answers

Answer:

Some of the benefits are tangible for they are visible in the design and production process, while the other benefits are intangible which may not be visible directly but result in improvement in the quality of product, better control over designing and production process, reduction of stress on the designers etc.

technician a says that some abs wheel speed sensors are used as part of the tire pressure monitoring system (tpms). technician b says that the abs is used as part of the hill assist system. which technician is correct?

Answers

Technician A said that some ABS wheel speed sensors are used as part of TPMS and similarly Technician B said that ABS is used as part of the hill assist system. And Both Technician statement is correct.

What does the ABS wheel speed sensor do?

Wheel speed sensors are an essential component of your car's anti-lock braking system (ABS) since they continuously relay data about the speed of the wheels to the ABS controller in addition to monitoring vehicle functions like traction control.

How does hill assist work?

The Hill Assist feature automatically maintains the pressure in the braking system when you let off the brake pedal for a brief period of time to prevent your car from rolling back unintentionally.

A tire pressure monitoring system (TPMS) uses an ABS wheel speed sensor as part of it and also as part of the hill assist system.

Hence, Both Technicians are correct.

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Tech A says that a gear set that has a drive gear with 9 teeth and a driven gear with 27 teeth has a gear ratio of 3:1. Tech B says that the drive gear is also called the output gear. Who is correct?

Answers

Answer:

Tech A is correct.

Explanation:

Gears are toothed wheels that can be used to transmit power. When two or more gears are in tandem, a gear train is formed.

Gear ratio = \(\frac{number of teeth of the driven gear}{Number of teeth of the driving gear}\)

                = \(\frac{27}{9}\)

                = \(\frac{3}{1}\)

Gear ratio = 3:1

The driver gear is called the input gear since it transfers its power to the driven gear. While the driven gear is called the output gear because it produces an effect due to both gears.

Tech A is correct.

A hydroelectric turbine passes 1.7 million gal/min through its blades. If the average velocity of the flow in the circular cross-sectional conduit leading to the turbine is not to exceed 34 ft/s, determine the minimum allowable diameter of the conduit.

Answers

Answer:

11.87 ft

Explanation:

Volumetric flow rate of the turbine Q = 1.7 million gal/min

Q = 1.7 x \(10^{6}\) gal/min

1 gal = 0.00378541 m^3

1 min = 60 sec

1.7 x \(10^{6}\) gal/min = (1.7 x \(10^{6}\) x 0.00378541)/60 = 107.25 m^3

average velocity of flow through turbine = 34 ft/s

1 ft = 0.3048 m

34 ft/s = 34 x 0.3048 = 10.36 m/s

According to continuity equation, Q = AV

where Q = volumetric flow rate

A = Area of conduit

V = velocity of flow through turbine

A = Q/V = 107.25/10.36 = 10.35 m^2

Area of conduit = \(\pi r ^{2}\)

radius r = \(\sqrt{\frac{area}{\pi } }\) = \(\sqrt{\frac{10.35}{3.142} }\) = 1.81 m

diameter = 2 x radius = 2 x 1.81 = 3.62 m

diameter = 3.62 m = 3.62 x 3.28084 = 11.87 ft

EXAMPLE 1. 8 A current of 30. 0 mA is to be divided into two branch
currents of 20. 0 mA and 10. 0 mA by a network with an equivalent
resistance equal to or greater than 10. 0 N. Obtain the branch resistances.
COTTITION 1 g​

Answers

The  resistance in the branch with a current of 20mA is 10 ohms, and the resistance in the branch with a current of 10mA is 20 ohms.

What is the resistance about?

We can use Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them, to solve for the branch resistances.

I = V / R

Let R1 be the resistance in the branch with a current of 20mA and R2 be the resistance in the branch with a current of 10mA.

We know that the total current flowing through the network is 30mA and the equivalent resistance is greater than or equal to 10 ohms.

R_eq = (R1 + R2) >= 10 ohms

We also know that the current flowing through the two branches is equal to the total current flowing through the network.

I = I1 + I2

30mA = 20mA + 10mA

Now we can use the above equations to find the resistance of the two branches.

R1 = V / 20mA

= 10 ohms

R2 = V / 10mA

= 20 ohms

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See correct question below

A current of 30 mA is to be divided into branch currents of 20mA and 10mA by a network with an equivalent resistance equal to or greater than 10 ohms. Obtain the branch resistances.

A hot coffee cup is placed in a cold room. Which of the following statements is true? 1. Heat will transfer from the coffee to the room because the coffee has a higher temperature. II. Internal energy will transfer from the coffee to the room because the coffee has a greater internal energy. III. The coffee and the room are in thermal equilibrium Choose one answer O II III I and III

Answers

The coffee and the room will not be in thermal equilibrium until the coffee cup and the room reach the same temperature. The correct answer is Option I and III.

Option I: Heat will transfer from the coffee cup to the room because the coffee cup has a higher temperature than the room.

This is because temperature is a measure of the average kinetic energy of particles, and since the coffee cup is hotter, the particles in it have more kinetic energy than the particles in the room.

Internal energy will also transfer from Option III: the coffee to the room because the coffee has a greater internal energy.

This is because internal energy is a measure of the potential energy due to the position and vibration of particles, and since the coffee cup is hotter, the particles in it have a higher potential energy than the particles in the room.

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why you so mean to me? leave my questions please. answer them

Answers

Answer: Why is even here then.

Explanation:

Where is Gotland Island?
O The Dead Sea
O The Caspian Sea
O The Baltic Sea
O The Mediterranean Sea

Answers

The baltik sea

Explanation

Gotland is an island in the Baltic Sea approximately 90 km off the eastern coast of Sweden. It has been inhabited for a long time, probably dating back to the Stone Age. I hope it help good luck and stay safe
The baltic sea because none of the others are right

to produce cooling the refrigerant must

Answers

Answer:

The compressor

Explanation:

to compress the low-pressure dry gas refrigerant from the evaporator and raise its pressure and temperature to that of the condenser, to produce flow around the system.

convert the following single-precision floating point numbers from hexadecimal to decimal or from decimal to hexadecimal. you may leave your answer as an expression. (10 points) a. 8.25 b. 0x00000f00

Answers

The problem is related to the conversion of single-precision floating-point numbers between hexadecimal and decimal formats.

What is the problem described in the paragraph?

The paragraph provides a problem related to the conversion of single-precision floating-point numbers between hexadecimal and decimal formats.

The first number, 8.25, can be converted from decimal to hexadecimal by first converting the integer part (8) and fractional part (0.25) separately to binary and then concatenating the two binary values to obtain the hexadecimal value.

The second number, 0x00000f00, is already in hexadecimal format and can be converted to decimal by multiplying each hexadecimal digit by its corresponding power of 16 and adding the results.

The final answer will be a decimal number.

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What are the things considered in the planning and design of social housing

Answers

Answer:

The things that you should consider in the planning and design of social housing are:

1. Physical requirements.

2. User Experience.

3. Time and Money.

4. Context/Setting.

5. Upkeep.

Hope this helps you!

Please mark me as a brainliest.

If current flowing through a conductor is 10 mA. how many electrons travel through it in 10 s?​

Answers

6.25×10⁻¹⁸ electrons will flow through a copper wire.

What are electrons?

Electrons can be defined as the sum of atomic particles that is the career of negative charge, they are responsible for the chemical property of an element, the electrons are present in the shell.

Use formula ( I = ne/t )

Here,

number of electron

electron =1.6 x 10¯¹9 C

We have a relation between charge and current as

Charge = Current×time i.e

Q = i×t.

Now we have current = 10 amp & time = 10sec from given data.

Therefore charge Q = 10×1 = 100 coulombs.

Again we have a relation between charge and no of electrons

I.e no of electrons= total charge / 1.6×10⁻¹⁹

So, no of electrons = ( 100C/1.6×10⁻¹⁸ )

= 6.25×10⁻¹⁸ electrons.

Therefore, 6.25×10⁻¹⁸ electrons will flow through a copper wire carrying 10 amps current for 10 sec

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If chestnut hair (E) is dominant over black hair (e), can two horses with black hair produce an offspring with chestnut hair? Explain your answer.

Answers

Answer:

No, the offspring of two black horses cannot have chestnut hair. Since the black hair allele is recessive, both parents have to be hz recessive and do not carry the dominant chestnut hair allele. The only allele the parents can pass back to their offspring is the black allele.

Explanation:

Edg. 2022

Answer: The offspring of two black horses cannot have chestnut hair. Since the black hair allele is recessive, both parents have to be his recessive and do not carry the dominant chestnut hair allele. The only allele the parents can pass back to their offspring is the black allele.

Explanation:

What is the link between fossil fuel use and flowers blooming earlier in the spring season

Answers

Answer:

a warmer earth due to fossil fuel emissions has milder winters and earlier springs

Explanation:

fossil fuels cause global warming which would make the winters less cold and spring and summer hotter.

A farmers drainage ditch has a width of 2 m and a depth of 50 cm. It is lined with concrete with a roughness of 0.011 and slopes at 0.0009. Calculate the ditch's discharge rate.

Answers

Answer:

Using the Manning's Equation, the discharge rate can be calculated as follows:

Q = (1.49/n) x A x R^(2/3) x S^(1/2)

Where:

Q = discharge rate (m^3/sec)

n = Manning's roughness coefficient (0.011)

A = cross sectional area of the ditch (2m x 0.5m = 1 m^2)

R = hydraulic radius (half the width of the ditch, or 1 m)

S = slope of the ditch (0.0009)

Q = (1.49/0.011) x 1m^2 x 1m^(2/3) x 0.0009^(1/2)

Q = 13,636.36 m^3/sec

The water in a large lake is to be used to generate electricity by the installation of a hydraulic turbine-generator. The elevation difference between the free surfaces upstream and downstream of the dam is 165 ft. Water is to be supplied at a rate of 7000 lbm/s. The electrical power generated is measured to be 1546 hp and the generator efficiency of 92%. (1 hp = 550 lbf.ft/s).

Determine:
a. the overall efficiency of the turbine-generator.
b. the mechanical efficiency of the turbine.

Answers

Answer:

a) 75%

b) 82%

Explanation:

Assumptions:

\(\text{The mechanical energy for water at turbine exit is negligible.} \\ \\ \text{The elevation of the lake remains constant.}\)

Properties: The density of water \(\delta = 1000 kg/m^3\)

Conversions:

\(165 \ ft \ to \ meters = 50 m \\ \\7000 \ lbm/s \ to \ kilogram/sec = 3175 kg/s \\ \\1564 \ hp \ to \ kilowatt = 1166 kw \\ \\\)

Analysis:

Note that the bottom of the lake is the reference level. The potential energy of water at the surface becomes gh. Consider that kinetic energy of water at the lake surface & the turbine exit is negligible and the pressure at both locations is the atmospheric pressure and change in the mechanical energy of water between lake surface & turbine exit are:

\(e_{mech_{in}} - e_{mech_{out}} = gh - 0\)

Then;

\(gh = (9.8 m/s^2) (50 m) \times \dfrac{1 \ kJ/kg}{1000 m^2/s^2}\)

gh = 0.491 kJ/kg

\(\Delta E_{mech \ fluid} = m(e_{mech_{in}} - e_{mech_{out}} ) \\ \\ = 3175 kg/s \times 0.491 kJ/kg\)

= 1559 kW

Therefore; the overall efficiency is:

\(\eta _{overall} = \eta_{turbine- generator} = \dfrac{W_{elect\ out}}{\Delta E_{mech \fluid}}\)

\(= \dfrac{1166 \ kW}{1559 \ kW}\)

= 0.75

= 75%

b) mechanical efficiency of the turbine:

\(\eta_{turbine- generator} = \eta_{turbine}\times \eta_{generator}\)

thus;

\(\eta_{turbine} = \dfrac{\eta_{[turbine- generator]} }{\eta_{generator}} \\ \\ \eta_{turbine} = \dfrac{0.75}{0.92} \\ \\ \eta_{turbine} = 0.82 \\ \\ \eta_{turbine} = 82\%\)

Deduce the general exponential fourier series as derived in biomedical analog signals and systems​

Answers

Answer:

Exponential Series

Explanation:

Answer:

\({ \rm{x(t) = a_{0} + \sum a_{k} \cos \omega t + \sum b _{k} \sin \omega t }}\)

\({ \tt{ a_{0} = \frac{2}{t} \int x(t) \: dx}} \\ \\ { \tt{ a_{k} = \frac{1}{t} \int x(t) \cos \omega t \: dx }} \\ \\ { \tt{ b_{k} = \frac{1}{t} \int x(t) \sin \omega t \: dx }}\)

A steam power plant operates on the reheat Rankine cycle. Steam enters the highpressure turbine at 12.5 MPa and 550°C at a rate of 7.7 kg/s and leaves at 2 MPa. Steam is then reheated at constant pressure to 450 °C before it expands in the low-pressure turbine. The isentropic efficiencies of the turbine and the pump are 85 percent and 90 percent, respectively. Steam leaves the condenser as a saturated liquid. If the moisture content of the steam at the exit of the turbine is not to exceed 5 percent, determine (a) the condenser pressure, (b) the net power output, and (c) the thermal efficiency

Answers

Answer:

A) condenser pressure = 9.73 kPa,

B) 10242 kw

C) 36.9%

Explanation:

given data

entrance pressure of steam = 12.5 MPa

temperature of steam = 550⁰c

flow rate of steam = 7.7 kg/s

outer pressure = 2 MPa

reheated steam temperature = 450⁰c

isentropic efficiency of turbine( nt ) = 85% = 0.85

isentropic efficiency of pump = 90% = 0.90

From steam tables

at 12.5 MPa and 550⁰c ; h3 = 3476.5 kJ/kg,  S3 = 6.6317 kJ/kgK

also for an Isentropic expansion

S4s = S3 .

therefore when S4s = 6.6317 kJ/kg and P4 = 2 MPa

h4s = 2948.1 kJ/kg

nt = 0.85

nt (0.85) = \(\frac{h3-h4}{h3-h4s}\) = \(\frac{3476.5 - h4}{3476.5 - 2948.1}\)

making h4 subject of the equation

h4 = 3476.5 - 0.85 (3476.5 - 2948.1)

h4 = 3027.3 kj/kg

at P5 = 2 MPa and T5 = 450⁰c

h5 = 3358.2 kj/kg,  s5 = 7.2815 kj/kgk

at P6 , x6 = 0.95  and s5 = s6

using nt = 0.85 we can calculate for h6 and h6s

from the chart attached below we can see that

p6 = 9.73 kPa, h6 = 2463.3 kj/kg

B) the net power output

solution is attached below

c) thermal efficiency

thermal efficiency = 1 - \(\frac{qout}{qin}\) = 1 - ( 2273.7/ 3603.8) = 36.9% ≈ 37%

A steam power plant operates on the reheat Rankine cycle. Steam enters the highpressure turbine at 12.5
A steam power plant operates on the reheat Rankine cycle. Steam enters the highpressure turbine at 12.5

is a street the same as a avenue

Answers

they're essentially the same thing so i'd say yes

Blank is common during exercise.

Answers

Answer:

Sweat

Explanation:

As you exercise you respire and warm up due to energy. In turn, two things happen, blood vessels vasodilate (irrelevant to you) and sweat glands sweat more. this sweat then evaporates and cools down the body.

Answer:

Hyperpnea is common during exercise

Explanation:

Edge 2023

The advantage of using a reference line to position a building is that

Answers

Answer:

The reference line helps you achieve the precise connection of Walls for clean intersections.

Explanation:

Reference Lines allow you to place lines on the plot at specific locations to mark important values. You could use these to mark control limits or to indicate a trend line for a set of data.

Sarah and Raj take/takes me to a baseball game every year.
Either the Cubs or the Orioles play/plays the Yankees tonight.
There is/are nine players on a baseball team.
The home team sit/sits in the dugout on the third-base side of the field.
One of the players called the catcher crouch/crouches behind home plate
I learned how to play soccer from my sister.
Last year, I bought myself season tickets to the local team’s matches.
Only the goalie can use their hands to catch the ball.
The players must quickly move the ball down the field.
This year, my sister gave me my favorite player’s jersey for Christmas.

Answers

Answer:

take

play

are

sits

crouches

direct

indirect

direct

direct

indirect

Explanation:

i had just taken the test

Employees fiercely resist change in organisations due to the way it is managed from the outset. In your own words/style or in tabular form, detail the three phases in which change should be implemented to minimise or eradicate resistance as well as gain the commitment, and buy-in of those who will be affected by the change.

Answers

Organisational change can be difficult to implement, but by using a structured strategy, it can go more smoothly. The three steps listed below can assist reduce opposition and win the support and buy-in of those who are impacted:

1. Getting Ready for Change: Clearly express the necessity for and advantages of change.

- Involve workers early on, getting their feedback and addressing any issues they may have.   - Offer resources and training to develop the abilities required for the transformation.

  - Create a sense of urgency and a common vision.

2. Managing the Change: - Divide the change into doable steps and establish attainable objectives.   - Establish a change management team to oversee the procedure and handle problems.   - Encourage open channels of communication for discussion and feedback.   - Thank and honour staff members for their contributions and achievements.

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The 8.9 (on the Richter scale) earthquake and ensuing after-shocks and tsunami that devastated Japan resulted in all EXCEPT:
a. Reduction in manufacturing of parts and automobiles
b. Car dealership revenue streams
c. The demand for Japanese automobiles

Answers

c. The demand for Japanese automobiles. The 8.9 (on the Richter scale) earthquake and ensuing after-shocks and tsunami that devastated Japan resulted in reduction in manufacturing of parts and automobiles, and car dealership revenue streams, but did not result in an increase in the demand for Japanese automobiles.

The 8.9 (on the Richter scale) earthquake and ensuing after-shocks and tsunami that devastated Japan resulted in a reduction in manufacturing of parts and automobiles. This was due to the damage caused to manufacturing plants that resulted in lost production time and a decrease in the supply of automobile parts. The car dealership revenue streams also decreased due to the reduction in sales.The event did not lead to an increase in the demand for Japanese automobiles as this was not a result of the natural disaster. The natural disaster instead led to a decrease in the production and sales of Japanese automobiles due to the damage caused by the earthquake and tsunami on the manufacturing plants that produce the automobiles.

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determine the application of star connected network​

Answers

Answer:

fijixuc uckyc7fmtjjr hcumffjmfumfnng

Answer:

a method of connecting polyphrase circuits in which one end of each phase line is connected to a common neutral point that may be connected to the earth as protection against lightning or to a wire to which all the other neutral points of the system are connected

Explanation:

What phase best describes the function of a thermostat?

Answers

Answer:

a formula containing arguments

Explanation:

Hopefully that's correct

Technician A says that a steering column may be designed to absorb energy.

Technician B says that vehicle seats may be designed to absorb energy.

Who is right?

A only

B only

Both A and B

Neither Anor B

Answers

Technician A says that a steering column may be designed to absorb energy, and Technician B says that vehicle seats may be designed to absorb energy. Both technicians are correct.

Technician A is correct because steering columns in some vehicles are designed to absorb energy in the event of a collision. This is done to protect the driver by reducing the impact forces transferred to the steering wheel and ultimately to the driver's body. Technician B is also correct because vehicle seats can be designed to absorb energy during a crash.

Energy-absorbing seat designs can help reduce the impact forces transmitted to the occupants, reducing the risk of injury. In summary, both Technician A and Technician B are right. Steering columns and vehicle seats can be designed to absorb energy, contributing to occupant safety in the event of a collision.

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A project ha following time chedule: Activity Time in Week Activity Time in Week 1-2 4 5-7 8 1-3 1 6-8 1 2-4 1 7-8 2 3-4 1 8-9 1 3-5 6 8-10 8 4-9 5 9-10 7 5-6 4 Contruct the network and compute: (1) TE and TL for each event (2) Float for each activity (3) Critical path and it duration

Answers

(1) TE and TL for each event

Event 1: TE=0, TL=0

Event 2: TE=4, TL=4

Event 3: TE=1, TL=5

Event 4: TE=2, TL=6

Event 5: TE=6, TL=12

Event 6: TE=1, TL=2

Event 7: TE=8, TL=16

Event 8: TE=9, TL=17

Event 9: TE=8, TL=18

Event 10: TE=16, TL=23

(2) Float for each activity

Activity 1-2: Float=0

Activity 1-3: Float=3

Activity 2-4: Float=2

Activity 3-4: Float=1

Activity 3-5: Float=0

Activity 4-9: Float=0

Activity 5-6: Float=0

Activity 5-7: Float=0

Activity 6-8: Float=7

Activity 7-8: Float=6

Activity 8-9: Float=5

Activity 8-10: Float=0

Activity 9-10: Float=0

(3) The critical path for this project is: 3-4, 4-9, 5-7, 7-8, 8-10, 9-10, with a total duration of 23 weeks.

THE SOLUTION

To construct the network and compute the requested information, we first need to create a list of events and activities.

From the given schedule, we can identify the following events and activities:

Events:

        1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Activities:

1-2: 4 weeks

1-3: 1 week

2-4: 1 week

3-4: 1 week

3-5: 6 weeks

4-9: 5 weeks

5-6: 4 weeks

5-7: 8 weeks

6-8: 1 week

7-8: 2 weeks

8-9: 1 week

8-10: 8 weeks

9-10: 7 weeks

Now we can compute the TE (time when an event is expected to start) and TL (time when an event is expected to be completed) for each event, as well as the float (amount of time that an activity can be delayed without delaying the project completion) for each activity.

TE and TL for each event:

Event 1: TE=0, TL=0

Event 2: TE=4, TL=4

Event 3: TE=1, TL=5

Event 4: TE=2, TL=6

Event 5: TE=6, TL=12

Event 6: TE=1, TL=2

Event 7: TE=8, TL=16

Event 8: TE=9, TL=17

Event 9: TE=8, TL=18

Event 10: TE=16, TL=23

Float for each activity:

Activity 1-2: Float=0

Activity 1-3: Float=3

Activity 2-4: Float=2

Activity 3-4: Float=1

Activity 3-5: Float=0

Activity 4-9: Float=0

Activity 5-6: Float=0

Activity 5-7: Float=0

Activity 6-8: Float=7

Activity 7-8: Float=6

Activity 8-9: Float=5

Activity 8-10: Float=0

Activity 9-10: Float=0

The critical path is the sequence of activities that have zero float, meaning they cannot be delayed without delaying the project completion. The critical path for this project is: 3-4, 4-9, 5-7, 7-8, 8-10, 9-10, with a total duration of 23 weeks.

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