01020102 counter

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It seems like an odd request is it college work?

Does it have to be synchronous or will a ripple counter do?

Do you have to drive a 7 segment display or is binary fine?

If it's binary use a two bit binary counter and logic gates to fix the output, as mentioned above.

Hint: It can be done with three NAND gates enabling you to use a single IC.

If you need to drive a 7 segment display, you can get an IC to do it for you.
 
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