Design a counter with T flip-flops that goes through the following binary repeated sequence: 0, 1, 3, . Show that when binary states 10. are considered as don't care conditions, the counter may not .operate properly
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- Show how an asynchronous counter with J-K flip-flops can be implemented having a modulus of eleven with a straight binary sequence from 0000 through 1010 . Draw the diagram.(need only handwritten solution .otherwise downvote.)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.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.
- 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…Use D flip-flops to design a mod-16 binary down counter, whose counting sequence is 1111->1110->1101->1100->1011-> … ->0000->1111…. Derive the logic expressions for the D inputs of the flip-flops and draw the circuit diagram.We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
- 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.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).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 - output
- Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thDesign a Up Down Counter by using JK flip flop and verify the output of your designed circuit onany random input. Provide the following information as well:1. State table2. State diagram3. State equations4. Complete circuit diagramUsing T-type flipflops, design a counter by counting the binary sequence of 7, 5, 3, 1, 0, 2, and then back to 7 by creating Karnaugh diagrams, and draw the logic circuit. If there is a situation that prevents the counter from working properly in binary situations (such as the two states constantly looping over each other), what solution should be made to overcome this situation? If there is such a case, correct the counter design according to your suggestion and show the design that will enable it to count correctly by correcting the status table. If this is not the case, do not make any changes. NOTE: The state variables are A, B, and C. Flip flop inputs are TA, TB and TC. Q(t+1) =Qn+1= Qn ⨁ TTFull Screen Reader for a T-type FF