A timing diagram is given for inputs to a D Flip-Flop with Enable and Reset (both active high, reset is synchronous). What is the value of the Q output of the D Flip-Flop with Enable and Reset at time = 13 ns? Assume the delay from inputs changing to output changing is negligible.

Given: 101101002  is an 8-bit two’s complement 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.

Given: 101010102  is an 8-bit unsigned binary number. What is its value in decimal (ex: “-25”, “45”)

Q6-B-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) What is the probability that license plates chosen at random have at least one repeated symbol?

Given: F(A,B,C).  Which of the following is the minterm of F that corresponds to A=0, B=1, C=0?

Convert 11310 to an 8-bit unsigned binary number (ex: “01101110”)

Q11-B-8 points Does the following graph have an Euler Circuit? If not, add extra edges to make it an Eulerian Graph. Explain. Set of Vertices V={A,B,C,D,E} Set of Edges E={ AB, AE, AD, AC, BC, BD, BE, CD}.      

Given the following circuit: What function is implemented by Y4?

Convert 6.562510 to a Q4.4 fixed-point binary number.  Show all 8 bits and the binary point (ex: “0001.1000”). Note: 1/16 = 0.0625; 2/16 = 0.125; 3/16 = 0.1875; 4/16 = 0.25; 5/16 = 0.3125; 6/16 = 0.375; 7/16 = 0.4375; 8/16 = 0.5; 9/16 = 0.5625; 10/16 = 0.625; 11/16 = 0.6875; 12/16 = 0.75; 13/16 = 0.8125; 14/16 = 0.875; 15/16 = 0.9375