Design a 2-bit counter using D-Flip flops with one input. When the input is 0, the counter counts down, with the repeated sequence (11-10-01-00). When the input is 1, the counter counts repeated random sequence (00-01-11-10). a) Derive the state table for the sequential circuit. b) Derive the simplified flip flops input equations. c)Draw the logic circuit diagram of a 2-bit counter.

5. JK flip-flops are often used to build counters. The JK flip-flop will toggle the original output value when triggered by the clock signal if both the J,K inputs are connected with a constant "high"(logic 1). All the JK flip-flops in Figure 2 are negative edge triggered. All the initial values of Q2Q1Q0 are 0. Qo (LSB) (MSB) Input K K Logic 1 Input Q2 000 Figure 2. Counter (a) Sketch the output waveforms forQ2 Q1 Q0. Write down the output binary value (Q2Q1Q0: such as "000", "001") for each clock period on the figure. (b) Describe the function of the counter (e.g. binary down counter counting from 7 to 0).

Draw a Moore-type state diagram and design a synchronous sequential circuit using D flip flops for a 1-input/1-output "sequence detector" for the sequence 11 (be sure to recognize overlapping sequences). Draw the final circuit. Draw a Moore-type state diagram and design a synchronous sequential circuit using D flip flops for a 1-input/1-output "sequence detector" for the sequence 100 (be sure to recognize overlapping sequences). Draw the final circuit. Draw a Moore-type state diagram and design a synchronous sequential circuit using D flip flops for a 1-input/1-output "sequence detector" for the sequence 110 (be sure to recognize overlapping sequences). Draw the final circuit. Draw a Moore-type state diagram and design a synchronous sequential circuit using D flip flops for a 1-input/1-output "sequence detector" for the sequence 000 (be sure to recognize overlapping sequences). Draw the final circuit. Draw a Moore-type state diagram and design a synchronous sequential circuit using D…

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