Counter Modulus

Correct Answer

C — Statement 1 is false, but statement 2 is true

Concept and Reasoning

An n-stage Johnson counter has 2n distinct states, so an 8-bit Johnson counter has modulus 16, not 8; statement 1 is false. A ring counter circulates a single pattern and uses one flip-flop per state, so statement 2 is true. Therefore option C.

Calculation / Key Relation

Johnson modulus=2n

ring-counter modulus=n

Exam Takeaway

Johnson doubles the number of states relative to a simple ring counter of the same flip-flop count.

Common Mistake

Do not assign modulus n to a Johnson counter.