Combinational and sequential logic theory and circuits.Q1: A “black box” has an output value of “1” if there are more 1’s than 0’s on its inputs. The output is “0” otherwise. To design this 3-input function with inputs A B C and output F: a- Generate a truth table (10 points). b- With a K-map generate a reduced SoP equation for the output (10 points). Q2: Simplify the binary equation below (10 Points). Draw the logic circuit (10 points). F = x.y + x’.z + x’.y.z + x.y.z Q3: Given the following logic equation. Implement it using a ‘153 mux. Mark pins signals and components correctly. All signals are active-high. (15 points). F= a’.q’.t.z + a.q.z.w + a.q’.t + a.q.t.w Q4: Draw timing diagram on the given circuit below indicate transitions of output “Out”. Show your work clearly please. (15 points) Info: All Positive Edge Triggered Flip Flops. Q5: Total Question value is 15 points. Draw the state transition diagram for a MOORE state machine that would detect the sequence of “ 0011”. Name states A B C D E ….. Use minimum number of states. This is a Non overlapping machine. (a) First show how output would look like below (3 points): Input: x = 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 Output: f = _________________________________________________________ (b) Draw state transition diagram below(10 points): Q6: Design a Shift register using D Flip-Flops to detect incoming bit sequence of “01101”. Show your work clearly please. (15 points)
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