How many different states can a 3-bit binary counter have?

Eight states, from 000 to 111.

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  1. 3
  2. 6
  3. 8 ✔

Why: Each added bit doubles the count. Three bits make 2 times 2 times 2, which is 8 states.

Huh, didn't know that: A shift register is a clocked array of circuits that passes data in steps along the array.

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A town with 2 hams has 1 radio club. A town with 3 hams has 2 radio clubs.
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References

Answer: 8. Each added bit doubles the count. Three bits make 2 times 2 times 2, which is 8 states.

  1. NCVEC 2023-2027 General Class Pool and Syllabus (6th Errata, Feb 4 2026) ncvec.org/downloads/General%20Class%20Pool%20and%20Syllabus%202023-2027%20Public%20Release%20with%206th%20Errata%20Feb%204%202026.pdf
    8
    Checked 2026-10-11.

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