For each of the following circuits and input stringsi. Construct a state table (calling the states 00, 01, 10, 11).ii. Show a timing trace for the values of the flip flops and theoutput for as far as possible. Assume that the initial value ofeach flip flop is 0.iii. derive the next state equations for A and B The image displays a digital logic circuit diagram featuring JK flip-flops and various logic gates, along with an input clock signal labeled "Clock."### Circuit Description:1. **Inputs and Outputs:** - `x`: Input signal. - `z`: Output signal.2. **Logic Gates:** - The circuit uses an inverter (NOT gate), several AND gates, and an OR gate. - The NOT gate is connected directly to the input `x`.3. **JK Flip-Flops:** - Two JK flip-flops (`A` and `B`) are used in the circuit. - Each flip-flop has inputs `J` and `K`, with outputs `A`, `A'` (for the first flip-flop), and `B`, `B'` (for the second flip-flop).4. **Connections and Path:** - The output of the NOT gate is connected to one of the AND gates. - The flip-flop `A` receives a combination of signals including the primary input `x` and other terms from AND gates. - The output `A` is fed into the flip-flop `B` and combined with other signals through an AND gate. - The output signals from both flip-flops go through logic gates to compute the final output `z`.5. **Clock Signal:** - The clock line shown across the bottom is active for control of the flip-flops, and it is synchronized with the binary sequence `x = 001100110`.### Timing and Signal Analysis:- The bottom of the diagram provides the sequence for the `x` input over time: `001100110`. This indicates the state of input `x` across successive clock cycles.### Purpose:This circuit appears to implement a sequence detector or a finite state machine, utilizing JK flip-flops to store state information and logic gates to process input into a desired output pattern or behavior.### Educational Context:This diagram is typically used to teach concepts in digital electronics, particularly focusing on sequential logic circuits and the use of flip-flops in designing state machines. Understanding this kind of circuit is crucial for students working with digital systems and sequential logic design.

Consider the circuit diagram. For this circuit, To draw the state-table, we need to find the next state to which the circuit goes from each of the four present states (), when and when . When present state is then If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 0 and output of the second flip-flop will be 1. Thus, the next-state would be . If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 0 and output of the second flip-flop will be 0. Thus, the next-state would be . When present state is then If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 1 and output of the second flip-flop will be 1. Thus, the next-state would be . If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 0 and output of the second flip-flop will be 0. Thus, the next-state would be . When present state is then If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 1 and output of the second flip-flop will be 1. Thus, the next-state would be . If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 0 and output of the second flip-flop will be 0. Thus, the next-state would be . When present state is then If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 1 and output of the second flip-flop will be 1. Thus, the next-state would be . If by using JK flip flop equations, we get So, when a clock pulse arrives, output of the first flip-flop will be 0 and output of the second flip-flop will be 1. Thus, the next-state would be . The state-table is, The timing trace is, When the system is in state with an unknown input after the last known input, it could go to either state or state , producing at output of 1 in both the cases. But we cannot know the values reliably, any further.