A timing diagram is given for inputs to a basic D Flip-Flop. What is the value of the Q output of the D Flip-Flop at time = 1 ns? Assume the delay from inputs changing to output changing is negligible.

Q7-B-8 points A group of 12 students is available. A team of 4 students is to be selected and then arranged in a line for a photo. In how many ways can this be done?

Q3-C 8 points Let ​A​ = {0, 1, 2, 3, 4} and let ​R​ be the relation with digraph with vertex set V and edge set E. Set of Vertices V = {0, 1, 2, 3, 4} Set of Edges E = {(0,0), (1,1), (2,2), (0,4), (4,0), (0,1), (1,0), (1,2), (2,1), (2,3), (3,2), (0,3), (3,0), (1,3), (3,1), (0,2), (2,0)} Note: (2,2) means a loop from the vertex 2 to itself, (2,3) means an edge from vertex 2 to vertex 3, etc, . . .  Test this relation for the following properties: reflexive symmetric transitive

Given the following circuit: If the inputs are E=0, A=0 and B=0, what is the value of Y?

Q6-A-8 points  In a certain state, all license plates consist of from 4 to 6 symbols chosen from the 26 letters together with the ten digits (0-9) a) How many license plates are possible, repetition allowed? b) How many license plates have at least one repeated symbol?  

Q1-B-7 points Determine whether the relation D is reflexive, symmetric, transitive, or none and justify your answer: Let D represent the ‘divides’ relation on the set of positive integers   . For all m, n 

Convert -11610 to an 8-bit two’s complement number (ex: “01101110”)

True of False: A sequential circuit does not have state.

Given: 110001012  is an 8-bit unsigned binary number. What is its value in decimal (ex: “-25”, “45”)

Q5-B-8 points One urn contains two black balls (labeled B1 and B2​) and one white ball.A second urn contains one black ball and two white balls (labeled W1​ and W2​). Suppose the following experiment is performed: One of the two urns is chosen at random. Next, a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. a) What is the probability that two balls of different color are chosen? b) Construct the possibility tree with all possible outcomes.