1. Construct a truth table for the following statement form. p^(-q vr) 2. Use De Morgan's laws to write the negation for the following statement. x≤2 or x>5 3. Determine whether the statement forms are logically equivalent using a truth table. ~p~q and ~(p^q)
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- Explain difference between IN and OR operator with the help of code examples.9. a) Draw a DFA of strings where the 2nd last symbol is a. Σ= {a,b} Or, b) Draw a DFA of strings where the 3rd last symbol is 1. Σ= {0,1} [You may draw the NFA for this problem if you find it difficult to solve using DFA]35 of 40 Consider R(A1,A2,A3,A4,A5, A6) with FDs: F = {A1 → A5, A2 → A1, A3A4 → A5, A5A6 → A2, A3 → A4, A5 → As} Which of the following statements is CORRECT? Note: "F = X → Y" means the FD X → Y follows from F. Select one: OFHA3 → A1 All of the four statements None of the four statements O F=A2 → A3 FEA1 → A4 O F= A5 → A4
- 6. Construct a truth table for the following argument to determine if it is valid. Work within the following grid. Is the argument Valid? Yes or No (circle one) ((p vq) ® -(p^)) :: -r+p3) There is a simple card game played with a deck of cards where a player receives four cards and two of those cards have to be same (they have to form a pair) in order to win. The computer has to determine if the player won using just one complex if statement. a) Create a systematic list of the possible combinations of cards that could form a pair (for example, Card1 & Card 2 could have the same value and make a pair). Use the table structure below. Card 1 Card 2 Card 3 Card 4 X XModified coin-row problem:If we modified the coin-row problem, so that you cannot take the adjacent coin, and youcannot take the coin next to the adjacent coin also (see example below), what would thedynamic programming formula F(n) be?Example: A, B, C, D, E, F, G, H, I, JIf A is taken, then B & C cannot be taken, but D (or above D, like E and so on) can be taken.If B is taken, then A, C, D cannot be taken.And so on.
- 4. ~(~C ≡ ~A) ѵ [(B ѵ C) • X] a) Replace each statement with the given assigned truth-values and rewrite the problem with the assigned truth-values ~(~t ≡ ~t) ѵ [(t ѵ t) • f] b) Using the truth-table, solve for the truth-value of the compound statement4. Which of the following statements is NOT correct? (a) If LR is regular, then L is regular. ( b) If L is regular, then L is regular. (c) If L∗ is regular, then L is regular. ( d) If L is finite, then L is regularLet x, y, and z be True statements, and a, b, and c be False statements. If (x m) V (y ^ b) = False, then m =
- HCI is (Human Computer Interaction) Answer the following five statements by first stating whether it is true or false and then given one sentence for justifying your answer a) You drag a folder to make a copy of its contents. An animation appears on the screen, showing files moving from one folder to another. This is an example of feedback. b) In augmented reality a screen is composed of a computer animation of the reality. c) The Model Human Processor is used in HCI to model complex cognitive processes d) Petri Nets can be helpful in modeling concurrent activities in a user interface. e) Gestalt is important to HCI as it offers tools to understand scenes.Heat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at temperature T to be 3 T rOp/T Cy = 9VpkB (e* – 1)2 dx, - where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's constant, and 0D is the so-called Debye temperature, a property of solids that depends on their density and speed of sound. Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a sample consisting of 1000 cubic centimeters of solid aluminum, which has a number density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The Boltzmann's constant kg = 1.380649 x 10-23 J · K-1. Please evaluate the integral with the following methods: (a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL) with TOL =le-10.Compute the weakest precondition for each of the following statements based on their postconditions. 1. b= 2*a + 3*b 1; a = 2*b {a >= 2}