9. A binary ripple counter is connected as shown (QA is least significant). Which of the following state sequences does the counter naturally progress through? (ignore transient states)

  1. 0 to 15
  2. 0 to 9
  3. 0 to 6
  4. 0 to 4
  5. 0 to 1

3 is CORRECT. This counter counts between 0000 to 0110. When it attempts to count to 0111, the counter is immediately reset to 0000 via the NAND gate. Therefore, 0111 is considered to be a transient state, since the counter resides in this state for a duration much less that one clock period, and is thus ignored.

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