Question

Design a synchronous counter to produce the following binary sequence (hexadecimal counter). 0, 6, A, 3, 2, b, 7, d, 4, F, E, 5, 0, . Show the state transition by 7-segment display decoder using JK-Flip Flop

Answer 1

To design a synchronous counter to produce the given binary sequence, you can use JK flip-flops and a 7-segment display decoder. The process involves assigning binary values to each unique value in the sequence, setting the initial states of the flip-flops, designing the logic circuit, and connecting the outputs to the display decoder.

Step-by-step explanation:

A synchronous counter is a type of counter that changes state simultaneously with a clock signal. To design a synchronous counter to produce the given binary sequence, we can use JK flip-flops and a 7-segment display decoder.

A JK flip-flop is a type of flip-flop that has two inputs, J and K, and two outputs, Q and Q'. The state of the flip-flop changes based on the inputs and the clock signal.

1. First, we need to determine the number of flip-flops required. Since the binary sequence contains 13 unique values, we need at least 4 flip-flops (2^4 = 16, which is greater than 13).
2. Next, we assign binary values to each unique value in the sequence. 0 becomes 0000, 6 becomes 0110, A becomes 1010, and so on.
3. We can then use the binary values to set the initial states of the flip-flops.
4. Next, we design the logic circuit to produce the desired sequence. We use the J and K inputs of the flip-flops to determine the next state based on the current state.
5. Finally, we connect the outputs of the flip-flops to a 7-segment display decoder. This decoder converts the binary representation of a number to the corresponding segment display to show the hexadecimal counter values.

By following these steps, we can design a synchronous counter using JK flip-flops and a 7-segment display decoder to produce the given binary sequence.