3. Consider the counter shown in Figure 2, where the flip-flops are initially set to 0. (a) Determine the logic equations for the J and K inputs of each flip-flop (b) complete the timing diagram (c) construct the state diagram of the counter; (d) deduce the counter modulo. 00°0 Do Qo Q1 Q Q J Q Q2 1HK 1K Q CLR K Q CLR CLR CK СК Qo Q1
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- 9. Analysis of Synchronous Counters, in the following figure, write the logic equation for each input of each flip-flop. Determine the next state for state 010,011,100,111 as Q2Q1Q0 sequence. FF0 FFI FF2 Ko K, K2 CLKTask 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.) 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.
- (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 5Q) 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.The logic diagram of JK flip-flop is given in Figure 3.a) Write the output Boolean functions for the outputs.b) Draw the timing diagram of the circuit on Figure 4. Assume that the delay between JK inputsand QQ outputs is 1 unit. Each column in Figure 4 represents 1 unit.
- F4 Using two flip-flops and basic gates, construct the circuit of the given state diagram below. Provide the following: State Table, Flip-flop equations, Circuit Diagram. Follow correct label names: Q0, Q1 – prev/present states D0, D1 – D-FF names X – input Y - outputDesign a combinational circuit using multiplexer for a car chime based on thefollowing system: A car chime or bell will sound if the output of the logic circuit(X) is set to a logic ‘1’. The chime is to be sounded for either of the followingconditions:• if the headlights are left on when the engine is turned off and• if the engine is off and the key is in the ignition when the door is opened.Use the following input names and nomenclature in the design process:• ‘E’ – Engine. ‘1’ if the engine is ON and ‘0’ if the engine is OFF• ‘L’ – Lights. ‘1’ if the lights are ON and ‘0’ if the lights are OFF• ‘K’ – Key. ‘1’ if the key is in the ignition and ‘0’ if the key is not in the ignition• ‘D’ – Door. ‘1’ the door is open and ‘0’ if the door is closed• ‘X’ – Output to Chime. ‘1’ is chime is ON and ‘0’ if chime is OFF9 Using D flip-flops, (a) Design a counter with the following repeated binary sequence: 0, 1, 2, 4, 6. (b) Draw the logic diagram of the counter. (c) Design a counter with the following repeated binary sequence: 0, 2, 4, 6, 8. (d) Draw the logic diagram of the counter.
- 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.(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(b) Analyse the sequential logic circuit for the D Flip-Flop shown in Figure below and answer the following sections Determine next state equations. Determine the state table for circuit in section (i). Draw the state machine diagram for D Flip-Flop of circuit in section (i). DD Figure (b)