2 Using D flip-flops, design a synchronous counter that counts in the sequence 1, 4, 7, 1, The counter counts only when its enable input x is equal to 1; otherwise, the counter is idle.
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- (c) For each of the following parts, fill in the respective row of the timing diagram shown in Figure 5. (i) Find the input for a rising-edge-triggered D flip-flop that would produce the output Q as shown in Figure 5. (ii) Find the input for a rising-edge-triggered T flip-flop that would produce the output Q as shown in Figure 5. Clock D Figure 55. 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).(d) Figure 6 shows the diagram of a 3-bit ripple counter. Assume Qo = Q1 = Q2 = 0 at t = 0, and assume each flip-flop has a delay of 1 ns from the clock input to the Q output. Fill in Qo, Q1, and Q2 of the timing diagram (shown in Figure 7). Flip-flop Q1 will be triggered when Qo changes from 0 to 1. %3D 3 Qo Q2 T T Clock- Figure 6 Clock 10 15 20 25 30 35 40 45 50 Figure 7
- Task 1: Custom Sequence Counter Using JK Flip Flop, Design a counter circuit that cycles through the sequence: 0, 5, 4, 6, 1, 7, and repeats. Follow these steps: a) State Diagram: Draw a state diagram representing the sequence. Each state should be expressed as a binary number. b) State Table: Create a state table for the counter, detailing current states, next states, and outputs. c) Flip-Flop Input Equations: From the state table, derive the input equations for the flip- flops. Treat any unused states as don't-care conditions. d) Simplification using K-maps: Use Karnaugh maps to simplify the flip-flop input equations. Optionally, verify your simplifications using Multisim. e) Circuit Diagram: Draw the circuit diagram. Task 2: 3-bit Up/Down Counter Using Flip Flop of your choice, design a 3-bit counter that counts up or down based on an input signal X. The counter should behave as follows: Initial State: On powerup, the counter starts at 0. Count Up (X=1): Sequence progresses through…3- Design a counter with a control input. When the input is high, the counter should sequence through three states: 10, 01, 11 and repeat. When the input is low the counter should sequence through the same states in the opposite order 11, 01, 10 and repeat.a) Draw the state diagram and state transition table.b) Implement the counter using D flip-flops and gates.Design a 3-bit up/down counter using positive edge-triggered T flip-flops. Provide a respective timing diagram to justify the design. Show all the relevant working (state table, state diagram, K-maps, state equations, and final circuit diagram). An up/down counter has two inputs say x, y, and a clock signal. The output should increase by 1 if x = 1 and y = 0 on each rising edge of clock and decrease when x = 0 and y = 1 on each rising edge of clock. When x = y, the output should neither increase nor decrease on each rising edge of clock.
- The following statements describe the sequential circuits. Select all the TRUE statements. a The sequential circuits consist of a combinational circuit and storage elements. b The storage elements keep a binary bit even though the circuit power is gone. c Only the current input determines the outputs of sequential logic circuits. d The flip-flop is controlled by signal levels.Q) You want to design a synchronous counter sequential (sequential) logic circuit. Counting from 9 to 0 and will not count the last digit of your student number. (a) List the steps that you will apply in the design approach. State Chart and State Create the table. (b) Design the sequential circuit using JK Flip-Flop. Explain each step. Desired action show that you have done it. " last digit student num:4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.3.) The design size of the synchronous counter sequential (sequential) logic circuit. It will count from 0 to 9 and the son of your student number will not count decimals in two digits. A. List the process steps that you will apply in the design approach. Create the State Chart and State Chart. B. Design the sequential circuit using JK Flip-Flop. Explain each step. Show that it has performed the desired action. last digit student num: 0 4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.
- Design a modulo-5 ripple (asynchronous) down-counter with D flip-flops and draw the corresponding logic circuit. (i) Build the state diagram and extract the state table(ii)Draw the logic circuit(iii) What is the maximum modulus of the counter?Q) You want to design a synchronous counter sequential (sequential) logic circuit. Counting from 0 to 9 and will not count the last two digit of your student number. (a) List the steps that you will apply in the design approach. State Chart and State Create the table. (b) Design the sequential circuit using JK Flip-Flop. Explain each step. Desired action show that you have done it. " last two digit student num: 0 4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.Write the next-state equations for the flip-flops and the output equation. (b) Construct the transition and output tables. (c) Construct the transition graph. (d) Give a one-sentence description of when the circuit produces an output of 1. Q2 D2 Q1 T1 CLK Figure 4

