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Minimize the following logic function and realize using gates.


F (A,B,C,D) = ∑m(1,3,5,8,9,11,15)+d(2,13)

Tom Jackson is buying a new car. Alternative A is an American-built compact. It has an initial cost of


$8900 and operating costs of 9cents /km, excluding depreciation. From resale statistics, Tom estimates


the American car can be resold at the end of 3 years for $1700.Alternative B is a foreign-built Fiasco.


Its initial cost is $8000, the operating cost, also excluding depreciation, is 8 cents /km. How low could


the resale value of the Fiasco be to provide equally economical transportation? Assume Tom will drive


12,000 km/year and considers 8% as an appropriate interest rate.

A road between Fairbanks and Nome, Alaska, will have a most likely construction cost of $4 million per



mile. Doubling this cost is considered to have a probability of 30%, and cutting it by 25% is considered



to have a probability of 10%. The state’s interest rate is 8%, and the road should last 40 years. What is



the probability distribution of the equivalent annual construction cost per mile?

A factory building is located in an area subject to occasional flooding by a nearby river. You have been



brought in as a consultant to determine whether flood proofing of the building is economically justified.



The alternatives are as follows:



A. Do nothing. Damage in a moderate flood is $10,000 and in a severe flood, $25,000.



B. Alter the factory building at a cost of $15,000 to withstand moderate flooding without damage



and to withstand severe flooding with $10,000 damages.



C. Alter the factory building at a cost of $20,000 to withstand a severe flood without damage.



In any year the probability of flooding is as follows: 0.70, no flooding of the river; 0.20, moderate flooding;



and 0.10, severe flooding. If interest is 15% and a 15-year analysis period is used, what do you



recommend?

Explain the Comparison of 3 mapping techniques between main memory to cache memory in the tabular form. show how and from where CPU will access the word from the cache memory in each mapping technique with the help of diagram. Take the word number as per your roll no. for example if your roll no is 35 than you have to show how and from where CPU will access W35 from the cache memory in case of each mapping technique with the help of diagram. Assume the main memory size as 16 KB, line size 128 bytes, cache size 1K bytes and k value is 4 .

A furnace wall consists of 250mm fire brick, 125mm thick insulating brick and 250mm thick building brick. The inside wall is at a temperature 600 degrees Celcius and atmospheric temperature is 20 degrees Celsius. The heat transfer coefficient for outside surface is 10 w/m^2k and thermal conductivity of fire brick, insulating brick and building brick are 1.4, 0.2 and 0.7 w/mk respectively. Neglecting radiation calculate the rate of heat loss per unit surface area, the temperature at each interface through the wall and temperature at the outside surface of the wall.


A steam main of 150mm outside diameter containing wet steam at 28bar is insulted with an inner layer of diatomaceous earth, 40mm thick and an outer layer of 85% magnesium 25mm thick. The inside surface of the pipe is at the steam temperature and heat transfer coefficient for the outside surface of the lagging is 17w/m^2k. The thermal conductivities of diatomaceous earth and 85% magnesium are 0.09 and 0.06 w/mk respectively.

Neglecting radiation and thermal resistance of the pipped wall calculate : the rate of heat loss per unit length of the pipe and temperature of the outside surface of the lagging when room temperature is 20 degrees celcius


Drive the equation of built in potential barrier under zero biased condition. If an abrupt PN junction has dopant concentration of Na=2*10^16 cm^-3 and Nd = 2*10^15 cm^-3 at T=300K calculate Vbi, W at Vr=0v and Vr=8v. also calculate the electric field in space charge region at Vr=0v and Vr=8v.

Consider two p-n silicon junctions at T = 300 K reverse biased at Vr = 5 V. The impurity doping concentrations in junction A are Na = 10^18 cm^-3 and Nd = 10^15 cm^-3 and those in junction B are Na = 10^18 cm^-3 and Nd = 10^16 cm^-3. Calculate the ratio of the following parameters for junction A to junction B: (a) W. (b) Emax and (c) Cj.

1. convert milli-meters to multi range volt, current and resistance instruments





2. explain the construction and principle of operation of the oscilloscope





3. Describe the procedure to follow as regard new and /or addition to an electrical installation system



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