Modulus understanding — output repetition rate For a modulus-8 (MOD-8) counter, the final output pattern repeats how often relative to the input clock pulses?

Introduction / Context:The modulus (MOD) of a counter indicates how many unique states it cycles through before repeating. Understanding this lets you predict output repetition and design timing divisions without simulating or breadboarding every case.

Given Data / Assumptions:

• A binary counter with modulus 8.
• States advance by one on each active clock edge.
• We consider the full cycle of the counter outputs.

Concept / Approach:A MOD-N counter has N distinct states. Thus, one full cycle of the count requires N clock pulses. When the Nth pulse occurs, the counter returns to the initial state and the output sequence repeats.

Step-by-Step Solution:

Verification / Alternative check:Enumerate the binary sequence 000 → 001 → 010 → 011 → 100 → 101 → 110 → 111 → back to 000. Count the transitions: eight pulses are consumed to return to the start.

Why Other Options Are Wrong:

• 16/24/32 pulses: correspond to larger moduli that do not apply.
• 4 pulses: would be MOD-4 behavior, not MOD-8.

Common Pitfalls:

• Confusing edge counts with state counts; each new state needs one clock.

Final Answer:8 clock pulses