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SarkariResultOutBMS · 2024

Previous Year Question

Given the following statements:Statement 1:The modulus of an 8-bit Johnson counter is eight.Statement 2:A ring counter uses one flip-flop for each state in its sequence.Choose the correct option for the above statements
  1. Statement 1 is true, but statement 2 is false
  2. Both statements 1 and 2 are false
  3. Statement 1 is false, but statement 2 is true
  4. Both statements 1 and 2 are true

Correct answer: C

Explanation

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.

Formula

Johnson modulus=2n; ring-counter modulus=n

Step-by-step solution

Counter Modulus explanatory diagram

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.

Common mistake

Do not assign modulus n to a Johnson counter.

Exam tip

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

Quick method

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