Q4-C-7 points We are given an urn with three balls: two blue balls labeled B1B_1​ and B2B_2​, and one white ball labeled WW. A ball is drawn, replaced, and then another ball is drawn and its color recorded. Consider the event where both balls drawn are blue. List all the possible outcomes for this event. What is the probability that this event occurs?  

Convert -12210 to an 8-bit two’s complement number (ex: “01101110”)

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

Given the following circuit: If the inputs are E=1, A=0 and B=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 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 = 9 ns? Assume the delay from inputs changing to output changing is negligible.

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?

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

How many D flip-flops are needed to represent 18 different states?

A truth table with four output functions is given. Function Y4 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 Y4 (do not confuse function Y4 with output Y4 on the decoder)?