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”)?

Given: 100101012  is an 8-bit two’s complement number. What is its value in decimal (ex: “-25”, “45”)

True of False: A combinational circuit has state.

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