1. Design a synchronous, recycling, MOD-8, binary down counter with D flip-flops.

2. Design a synchronous, recycling, MOD-12 counter with D FFs. Use the states 0000 through 1011 in the counter.

3. Design a recycling, MOD-13, up counter using an HDL. The count sequence should be 0000 through 1100. Simulate the counter.

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