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

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.

Q2-C-7 points Consider the “Divides” Relation on the following set A. A = {1, 2, 4, 5, 10, 15, 20} Draw the Hasse Diagram. (You can list the set of vertices, and edges for this diagram)  

Given: An 8:1 multiplexer has data inputs D0, D1, …, D7, select inputs S2:0, and output Y. Suppose D0 = 1, D1 = 0, D2 = 0, D3 = 0, D4 = 1, D5 = 0, D6 = 1, D7 = 1, S2 = 0, S1 = 1, and S0 = 1.  What is the value of Y?

Given: An 8:1 multiplexer has data inputs D0, D1, …, D7, select inputs S2:0, and output Y. Suppose D0 = 1, D1 = 0, D2 = 0, D3 = 0, D4 = 1, D5 = 0, D6 = 1, D7 = 1, S2 = 1, S1 = 1, and S0 = 0.  What is the value of Y?

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.

Q2-C-7 points Consider the “Divides” Relation on the following set A. A = {1, 2, 4, 5, 10, 15, 20} Draw the Hasse Diagram. (You can list the set of vertices, and edges for this diagram)  

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 = 1 ns? Assume the delay from inputs changing to output changing is negligible.

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 = 9 ns? Assume the delay from inputs changing to output changing is negligible.

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