Given that A=0 , B=1, C=0, and assume the current state Q(t)=1 in the J-K flip-flop, find the .value of Q(t+1) and its state 4 to 1 MUX C' J Flip-Flop А В Q' K 2 to 4 А Dec B АН Q(t+1) = 0, state = reset state O
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- Design a 2-bit counter using D-Flip flops with one input. When the input is 0, the ww m wwww w w m w i ww ww wwww www 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. wwwww b) Derive the simplified flip flops input equations. www w w ww www m www ww c)Draw the logic circuit diagram of a 2-bit counter.Implement a synchronous counter from 0 to 5, and back to 0. Use D flip-flops for designing the counter. a. Draw the state diagram b. Design the count sequence, or state table c. Determine the logic function for each of the next count/state bits d. Simulate the design in MultiSim and attach the MultSim file along with your assignment. Use a digital clock input at 1Hz for your clock signal.Given a sequential logic circuit expression asX(t+1) = p'X+pYY(t+1) = pX'+p'Ywhere X and Y are the two flip-flop outputs and p is the main external input.Draw the state transition table for the above-given logic function.Also, draw the state transition diagram associated with it.And What is the behavior of the circuit?
- Q 4. A sequential circuit has one flip-flop Q, two inputs x and y, and one output S. It consists of a full-adder circuit connected to a T flip-flop, as shown in figure below. Derive the state table and state diagram of the sequential circuit. S Full y adder C T Clk 4 Clock4. Design a digital circuit using three D flip-flops to control the shutdown sequence for an industrial dishwasher. The systems engineer has provided the following specification: The control circuit has one input: E (enable) The control circuit has three outputs: A, B, C When E = 0, the state of the circuit remains the same. When E = 1, the circuit outputs go through the transitions from 000 to 111 to 011 to 101, to 001, back to 000, and then repeats. Use the given signal names for the variables in your solution (E, A, B, C). Do not substitute different variable names. The flip-flop states should be the outputs. That is, make the flip-flop outputs the circuit outputs. Use don't cares in your solution for all unused states.Suppose that you want to design a new flip-flop and name it as AMflip-flop. This AM flip-flop behaves as follows: If A = 1, the flip-flopcomplements the current state. If A =0, the next state of the flip-flopis equal to the value of M.a. Derive the characteristic table for the AM flip-flop.b. From the characteristic tables of both flip-flops, the JK and theAM (that you have derived in part a), find the equivalent valuesof J & K for each of the AM states.For example, if for A= 0, M=0, Q(‡+1) was, say, x; then youshould find the equivalent combination of J & K that producesthe same output.c. Based on the result that you have obtained in part b, show howa JK flip-flop can be converted to an AM flip-flop by addinggate(s) and inverter(s).
- Design Problems: Problem #3: A sequential circuit has three JK flip-flops A, B and C, one input X, and one output Y. The state diagram is shown in Figure below 1. Using K-map to find the minimum SOP expression for the functions Ja, KA, Ja, Kg, J Ko, and Y. Draw the logic diagram of the circuit Derive the next-state table. 2. 3. 0/0 00 1/1 1/0 011 (010)1/1 1/1 1/1 000 19Answer the following: A circuit is to be designed that generates the following sequence of values on each rising edge of an external clock signal that is connected to the clock inputs of the flip flops. There is no external input. 1, 2, 4, 8, 1, 2, 4, 8, ... It is to be constructed using D-flip-flops in two ways: A. Using four D flip-flops. Additional combinational components may be used. B. Using two D flip-flops. Additional combinational components may be used.4- Draw the output waveform if the signal shown in Figure below is applied to inputs of J-K Flip-Flop. Q is initially LOW. PR HIGH CLK- K CLR CLK- PR CLR
- A D flip-flop inputs and a trigger signal are given in the figure. In this case, how is the waveform seen on the Q output will it be? Q=0 will be accepted at the beginning. CP SET D D e CP D CLR ToDesign a sequential circuit that detects prime numbers in the string of inputs using JK flip-flop. If the input is 1, the state tran.sition is 000, 011, 100, 111, 101, 010, 001, 110, then back again. Otherwise, the state transitions are the following: 000, 010, 101, 011, 111, 001, 110, 100, then back again. Include state stable, state diagram, flip-flop input and output equation, and logical diagram.Design a sequential circuit with two flip-flops A and B, and one input x_in. When x_in = 0, the circuit goes through the state transitions from 00 to 10, to 01, to 11, back to 00, and repeats. When x_in = 1, the circuit will reverse the given sequence. a. Using D Flip-Flop. b. Using JK Flip-flop. Provide the state diagram, state table, state equations, and the circuit diagram.