Final answer:
To design the counter with the desired counting sequence, use a 74x169 IC and three inverters.
Step-by-step explanation:
To design the counter with the given counting sequence, you can use a 74x169 IC (integrated circuit) along with three inverters.
- Connect the Q0, Q1, and Q2 outputs of the 74x169 IC to the three inverters, respectively.
- Output the inverted values to the clear (CLR) input of the 74x169 IC.
- Set the initial value of the counter by applying the appropriate clock (CLK) pulse to the 74x169 IC.
This setup will allow the counter to count in the sequence specified: 4, 3, 2, 1, 0, 11, 12, 13, 14, 15, 4, 3, and so on.