calculate the gate input of F=AB + C(D+E)
Answers
In total, the function F = AB + C(D+E) requires 2 + 2 + 2 + 2 = 8 gate inputs.
How to solve for the gate inputIn the given function, there are four operations:
AB is an AND operation, taking two inputs: A and B. Therefore, it contributes 2 gate inputs.
D+E is an OR operation, taking two inputs: D and E. Therefore, it contributes 2 gate inputs.
C(D+E) is an AND operation, taking two inputs: C and the output from the (D+E) OR operation. Therefore, it contributes 2 gate inputs.
Finally, AB + C(D+E) is an OR operation, taking two inputs: the output from the AB AND operation and the output from the C(D+E) AND operation. Therefore, it contributes 2 gate inputs.
In total, the function F = AB + C(D+E) requires 2 + 2 + 2 + 2 = 8 gate inputs.
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Related Questions
Off the southern coast of Andorra in the Mediterranean Sea lies the island of Duosomata (pronounced DOO-oh-so-MAH-ta). It is populated exclusively by short people and tall people. No people of average height live on the island. We can use the following predicates to say things about the people of Duosomata.
person(x)
≡
x is a person.
short(x)
≡
Person x is short.
tall(x)
≡
Person x is tall.
taller(x, y)
≡
Person x is taller than person y.
Answer the following questions by writing expressions in predicate calculus that use these predicates. Assume that quantified variables range over all possible objects, not just people, and not just people from Duosomata.
1a. (5 points.) Write an expression that means ‘‘If there are any two people, and the first person is taller than the second person, then the first person is tall, and the second person is short.’’
1b. (5 points.) Write an expression that means ‘‘At least one tall person is taller than any short person.’’
1c. (10 points.) Suppose that this is true:
¬ ∃s ∃t [person(s) ∧ person(t) ∧ short(s) ∧ tall(t) ∧ taller(s, t)]
Then prove that this is true:
∀s ∀t [(person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t)]
Your proof must be written as a series of steps. Each step must be an expression in predicate calculus. You must give a reason for each step.
Answers
1a. (∀x)(∀y)((person(x) ∧ person(y) ∧ taller(x, y)) → (tall(x) ∧ short(y)))
1b. (∃x)(tall(x) ∧ (∀y)(short(y) → taller(x, y)))
How can we show the proof?1c.
Proof:
Step 1:
Assume (person(s) ∧ person(t) ∧ short(s) ∧ tall(t))
Step 2:
From Step 1, we know that (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) is true.
Step 3:
Assume ¬ taller(s, t) is false, i.e. taller(s, t) is true.
Step 4:
From Step 3, taller(s, t) is true, which contradicts the assumption in (1c) that ¬ ∃s ∃t [person(s) ∧ person(t) ∧ short(s) ∧ tall(t) ∧ taller(s, t)].
Step 5:
From Step 4, it follows that ¬ taller(s, t) must be true, i.e. (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t) is true.
Step 6:
Since Step 5 holds for any s and t that satisfy (person(s) ∧ person(t) ∧ short(s) ∧ tall(t)), it follows that
(∀s)(∀t)((person(s) ∧ person(t) ∧ short(s) ∧ tall(t)) → ¬ taller(s, t)) is true.
Hence, the proof is complete.
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True or false? if i were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit.
Answers
Answer: True
Explanation:
which activity promotes the preservation of species
Answers
Answer:
A
Explanation:
In-situ conservation is the practice of keeping living things in their natural habitats. In the process, the natural surroundings or ecosystem is preserved and protected in order to benefit and conserve all the constituent species, whether they are known or undiscovered.
What activity promotes the preservation of species?Wildlife conservation helps to maintain and preserve many species of animals, plants, and their natural habitats. If we keep protecting wildlife, future generations will be able to enjoy our natural world and the incredible creatures that live there.
A fantastic method to protect the natural habitat of nearby animals is to grow native plants in your garden or on any land you own. In addition to benefiting the animals' population, this helps prevent the spread of exotic species, which harms the local fauna.
Therefore, In-situ conservation activity promotes the preservation of species.
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What is a transition? A. An animation that happens on a single slide B. An outline format that uses roman numerals C. An image file imported to a title slide D. An effect that happens between slides Please select the best answer from the choices provided A B C D
Answers
Answer:
its c
Explanation:
We consider three different hash functions which produce outputs of lengths 64, 128 and 160 bit. After how many random inputs do we have a probability of ε = 0. 5 for a collision? After how many random inputs do we have a probability of ε = 0. 1 for a collision?
Answers
For ε = 0.1, approximately 2.147 random inputs are needed for a collision. The number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
To determine the number of random inputs needed to achieve a specific probability of collision, we can use the birthday paradox principle. The birthday paradox states that in a group of people, the probability of two individuals having the same birthday is higher than expected due to the large number of possible pairs.
The formula to calculate the approximate number of inputs required for a given probability of collision (ε) is:
n ≈ √(2 * log(1/(1 - ε)))
Let's calculate the number of inputs needed for ε = 0.5 and ε = 0.1 for each hash function:
For a hash function producing a 64-bit output:
n ≈ √(2 * log(1/(1 - 0.5)))
n ≈ √(2 * log(2))
n ≈ √(2 * 0.693)
n ≈ √(1.386)
n ≈ 1.177
For ε = 0.5, approximately 1.177 random inputs are required to have a probability of collision.
For ε = 0.1:
n ≈ √(2 * log(1/(1 - 0.1)))
n ≈ √(2 * log(10))
n ≈ √(2 * 2.303)
n ≈ √(4.606)
n ≈ 2.147
For ε = 0.1, approximately 2.147 random inputs are needed for a collision.
Similarly, we can calculate the number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
Please note that these calculations provide approximate values based on the birthday paradox principle. The actual probability of collision may vary depending on the specific characteristics of the hash functions and the nature of the inputs.
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A wall 0.12 m thick having a thermal diffusivity of 1.5 × 10-6 m2/s is initially at a uniform temperature of 97°C. Suddenly one face is lowered to a temperature of 20°C, while the other face is perfectly insulated. Use the explicit finite-difference technique with space and time increments of 30 mm and 300 s to determine the temperature distribution at at 45 minutes.
Answers
Answer:
at t = 45 s :
To = 61.7⁰c, T1 = 55.6⁰c, T2 = 49.5⁰c, T3 = 34.8⁰C
Explanation:
Wall thickness = 0.12 m
thermal diffusivity = 1.5 * 10^-6 m^2/s
Δt ( time increment ) = 300 s
Δ x = 0.03 m ( dividing wall thickness into 4 parts assuming the system to be one dimensional )
using the explicit finite-difference technique
Detailed solution is attached below
4. Workers can be exposed to blood or other potentially infectious materials
(OPIM) if it splashes into their
A. Eye
B. Nose
C. A Mouth
D. All of the above
Answers
exposure incident means a specific eye, mouth, other mucous membrane, non-intact skin, or parenteral contact with blood or other potentially infectious material
what are material engineers trying to discover when they study different materials
Answers
Answer:
The Material engineers trying to discover when they study different materials is described below in complete detail.
Explanation:
Material engineers analyze various elements to discover the purpose and explanation of its existence, the chemical characteristics, how long it has stood there, and how it influences human life. The material engineer is an engineering exercise that concentrates to enhance human activity by investigating the environment and the diverse elements or elements it holds.
rank the following gases in order of decreasing rate of effusion. rank from the highest to lowest effusion rate. to rank items as equivalent, overlap them.
Answers
It means that the gas with the lowest molecular weight will have the highest effusion rate.
What has the highest rate of effusion?The given gases' effusion rates are listed in order from highest to lowest. The effusion rate of a hydrogen molecule is the highest, whereas that of a hydrocarbon is the lowest.
A gas will effuse faster when it is lighter and more slowly when it is heavier. Helium (He) will have the highest rate of effusion since it has the lowest molecular weight (atomic weight, in this example).
The following equation can be used to compare the rate of effusion for two gases: The effusion rates in this case are inversely related to the square root of the gas molecules' masses. A container contains an amalgam of neon and argon gas.
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Mechanic... Mechanical Engineer... What's the difference?
Instructions: Answer the question below with at least TWO complete sentences.
Answers
Answer:
Mechanic: a person who repairs and maintains machinery
Mechanical engineers: design power-producing machines
Explanation:
who was the american inventor created the cotton gin; a machine that made the united states the cotton-production capital of the world.?
Answers
While Eli Whitney is primarily renowned as the inventor of the cotton gin, he was also the pioneer of the mass production process. In 1798, he figured out how to produce muskets by machine.
Who created the cotton gin and what purpose did it serve?Contents. The cotton gin, created in 1794 by American-born inventor Eli Whitney (1765–1825), revolutionised cotton production by making the removal of seeds from cotton fibre much faster.
Who utilised the cotton gin initially?Most often credited to Eli Whitney, who received the patent in 1794, the cotton gin is a machine that separates cotton fibres from the seeds.
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______ signs warn drivers of work zones and provide clues as to the conditions ahead.
Answers
Answer:
Orange signs
Explanation:
Got it right on the test
Oxidation Inhibitors are antioxidant additives that slow the degradation
of the oil stock by oxidation?
Answers
Answer: True
Explanation:
Oil oxidation is a process that all oil goes through and involves a series of chemical reactions between compounds in the oil and oxygen that lead to the quality of the oxygen falling. In other words, oxidation degrades oil.
Even though this is a process that all oil goes through and one that cannot be stopped, it's pace can be reduced. One way of doing this is by adding oxidation inhibitors which are antioxidant additives that work to slow the degradation of the oil stock by oxidation.
A microscope illuminator uses a transformer to step down the 120 V AC of the wall outlet to power a 12.0 V,50 W microscope bulb. What is the resistance of the bulb filament
Answers
Answer:2.88 ohms
Explanation:
R= V^2 / P
12^2/50
144/50
2.88 ohms
3) Explain how dc machines Can work as motor and generator
Answers
The working principle of a DC machine is when electric current flows through a coil within a magnetic field, and then the magnetic force generates a torque that rotates the dc motor. The DC machines are classified into two types such as DC generator as well as DC motor.
show a trace of the recursive descent parser given in section 4.4.1 for the string a + b * c
Answers
The recursive descent parser for the string "a + b * c" using the grammar given in section 4.4.1 would have the following trace:
expr()
term()
factor()
variable()
match("a")
factor()
match("+")
term()
factor()
variable()
match("b")
factor()
match("*")
factor()
variable()
match("c")
The trace shows the sequence of function calls made by the parser as it parses the string. The parser first calls the expr() function to start parsing the string. expr() then calls term() to parse the first term of the expression. term() calls factor() to parse the first factor of the term. factor() calls variable() to parse the first variable, which is "a".
After parsing "a", factor() returns to term(), which then calls factor() again to parse the operator "+". factor() returns to term(), which calls factor() again to parse the second factor of the term. factor() calls variable() to parse the second variable, which is "b".
After parsing "b", factor() returns to term(), which calls factor() again to parse the operator "*". factor() returns to term(), which calls factor() again to parse the third factor of the term. factor() calls variable() to parse the third variable, which is "c".
After parsing "c", the parsing is complete, and the parser returns to the main program. The trace shows that the recursive descent parser uses a recursive approach to parse the string, with each function calling other functions to parse sub-parts of the string.
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Refrigerant-134a at 1 MPa and 100 C is to be cooled to 1 MPa and 28 C in a condenser by air. The air enters at 125 kPa and 25 C with a mass flow rate of 697 kg/min and leaves at 97 kPa and 58 C. Determine the mass flow rate of the refrigerant. Assume air has a constant heat capacity determined at room temperature. Report the mass flow rate of the refrigerant in kg/min with one decimal digit, for example 95.3 or 105.6.
Answers
let getprice tax rate = function
Answers
Answer: let get Price tax Rate = function | "banana" -> 0.79 * (1.0 + tax Rate) | "watermelon" -> 3.49 * (1.0 + tax Rate)
Explanation: The most straightforward way to calculate effective tax rate is to divide the income tax expense by the earnings (or income earned) before taxes. Tax expense is usually the last line item before the bottom line—net income—on an income statement.
What’s cat plus cat
?
Answers
Match the example to the model type it represents.
1. The client complains about the way the keyboard feels
1.mock-up
2. The engineering team tests how the tire treads on a new SUV perform on 2.various road conditions
preproduction model
3. The engineering team performs tests on the efficiency of the manufacturing process used for a recumbent bicycle
3.presentation model
Answers
Answer:
represnt
Explanation:
reason fo I.EE regulations in electrical installations
Answers
Answer:
The IEE Wiring Regulations Explained and Illustrated, Second Edition discusses the recommendations of the IEE Regulations for the Electrical Equipment of Buildings for the safe selection or erection of wiring installations. The book emphasizes earthing, bonding, protection, and circuit design of electrical wirings.
Explanation:
i hope it help you please make me brainlist and answer my question
A thin plate 0.7 m long and 1.5 m wide is submerged and held stationary in a stream of water
Answers
The thickness of the boundary layer will be 0.436m. Distance downstream of the leading edge where this Reynolds number occur will be 3.08mm. The shear stress on the plate on this point is 1.055 N/m².
Why is the Reynolds number employed?Laminar or turbulent fluid flow is identified using the Reynolds number, abbreviated as Re. In all viscous flows, where a numerical model is chosen in accordance with pre-calculated Reynolds number, it is one of the primary regulating parameters.
How to solve the question?Given, Reynolds number, Re = 500000
length = 0.7 m
width = 1.5m
velocity, u = 1.5 m/s
the thickness of the boundary layer, Re = u×x/v
x = Re × v/u
x = 500000×1.31×10∧(-6)/1.5
x = 0.436m
distance downstream of the leading edge where this Reynolds number occur, δ = 5x/\(\sqrt{Re}\)
δ = 5×0.436/√500000
δ = 3.08 mm
The shear stress on the plate on this point,
τ = 0.332v(u/x)×√Re
τ = 0.332×1.31×10∧(-3) (1.5/0.436) √500000
τ = 1.055 N/m²
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The complete question is,
A thin plate 0.7 m long and 1.5 m wide is submerged and held stationary in a stream of water (T = 10°C) that has a velocity of 1.5 m/s. What is the thickness of the boundary layer on the plate for Re, 500,000 (assume the boundary layer is still laminar), and at what distance downstream of the leading edge does this Reynolds number occur? What is the shear stress on the plate on this point?
The hazard communication standard requires employers to do all of the following except
A.) Obtain SDS for hazardous in toxic substances
B.) Train employee on how to safely use and obtain information about the hazardous substances in their workplace
C.) Label containers of hazardous
D.) prepare and post a list of employees who handle hazardous and toxic substances in the workplace
Answers
Answer:D
Explanation:
All the options given regarding the hazard communication standard are correct except option D "prepare and post a list of employees who handle hazardous and toxic substances in the workplace".
The main requirements of employers that use hazardous chemicals are:
• ensure that chemicals are properly labelled.
• provide safety data sheets.
• train employees.
• create a written hazard communication program.
It should be noted that preparing and posting a list of employees who handle hazardous and toxic substances in the workplace is incorrect.
Therefore, the correct option is D.
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All of the following are derived units except ________.
Answers
The option that is not a derived units is known to be option E) kg.
What are derived units and examples?The units that are known to be used for any form of derived quantities are said to be called the derived units.
They are:
The meter per second (distance)Mole per cubic meterVolumeNote that this unit are derived because they are known to be derived because they have to be solved for using different ways. The others such as kg m-3 is one that need to be derived to arrive at it.
Therefore, based on the above, one can say that The option that is not a derived units is known to be option E) kg because it is one that cannot be derived,
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The following are derived units EXCEPT
Options
A) kg m-3
B)N
C)Ns
D)m3
E)kg
The hazard communication standard requires employers to do all of the following,except
Answers
Answer: All the options given regarding the hazard communication standard are correct except option D "prepare and post a list of employees who handle hazardous and toxic substances in the workplace".
The main requirements of employers that use hazardous chemicals are:
• ensure that chemicals are properly labelled.
• provide safety data sheets.
• train employees.
• create a written hazard communication program.
It should be noted that preparing and posting a list of employees who handle hazardous and toxic substances in the workplace is incorrect.
Therefore, the correct option is D.
Explanation: YW!!! please mark branlest! =^.^=
Consider the Fourier series for the periodic function: x(t)=cos(6t)+sin(8t)+e
j2t
The Fourier coefficient C
3
of the exponential series is: Select one: 0.5 Q.5e 3×12 0 0.5e
1π/2
Answers
The Fourier coefficient C3 of the exponential series is 0.
In a Fourier series representation, the coefficients represent the contribution of each harmonic component to the periodic function. The Fourier coefficient C3 is obtained by multiplying the periodic function x(t) by e^(-j3ωt) and integrating over one period.
Given x(t) = cos(6t) + sin(8t) + e^(j2t), we can write e^(-j3ωt) as e^(-j3(2π/T)t), where T is the period of the function.
To find the Fourier coefficient C3, we need to calculate the integral of x(t) multiplied by e^(-j3(2π/T)t) over one period. However, since the given function x(t) does not contain the term e^(-j3(2π/T)t), the integral will evaluate to 0.
Therefore, the Fourier coefficient C3 of the exponential series is 0.
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What is the safe psi pressure for acetylene
Answers
Answer:
15psig
Explanation:
Pls answer and I will give a like!
Answers
Answer:
a
Explanation:
Which is the best smartphone in 2022?
Answers
What is the meaning of beauty and completeness? In relation to these what are the attributes a Muslim should adopt?
Answers
ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.
ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.