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.

True or False: 32-bit multipliers generally use less power than 16-bit multipliers

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

Suppose the switching frequency in a digital circuit is doubled (the frequency is now twice what it was before). If nothing else changed, how does that affect the power consumption?

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 = 13 ns? Assume the delay from inputs changing to output changing is negligible.

Q3- A 8 points Let ​A​ = {2, 5, 8} and let ​R​ be the relation with digraph with vertex set V and edge set E. Set of Vertices V = {2, 5, 8} Set of Edges E = {(2,2), (5,5), (8,8), (2,5), (2,8), (5,8)}. Note: (2,2) means a loop from the vertex 2 to itself, (2,8) means an edge from vertex 2 to 8, etc, . . .  Test this relation for the following properties: reflexive symmetric transitive

True of False: A sequential circuit has state.

Given: 01000001010010000000000000000000 is an IEEE-754 single precision floating-point number.  What are the first 6 bits of the mantissa (ex: “0.00000”)?

Given the following circuit: If the inputs are E=1, A=1 and B=1, what is the value of Y?

A truth table with four output functions is given. Function Y1 will be implemented using a 4:16 decoder that has address inputs A3:0 and outputs Y0, Y1, …, Y15.  Which outputs need to be connected to an OR gate to produce function Y1 (do not confuse function Y1 with output Y1 on the decoder)?