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GATE 2014 EE (EE1) – Question 31

Analog and Digital Electronics · VCOs and timers, combinatorial and sequential logic circuits, multiplexers, demultiplexers · 1 mark · Multiple choice

Find the overall modulus of three cascaded identical modulo-5 counters.

  1. 5
  2. 25
  3. 125
  4. 625

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Correct answer: (C) 125

Explanation

Each counter advances the next after five input counts. The combined state sequence spans5×5×5=**125states,C**, before repeating. Cascaded counter moduli multiply rather than add.