Common applications of MOD-6 / MOD-12 counters MOD-6 and MOD-12 counters (and their multiples) are most commonly applied as:

Introduction / Context:
Time-keeping divides seconds, minutes, and hours into bases of 6, 10, and 12 (e.g., 60 seconds per minute, 60 minutes per hour, 12 hours per half-day). Digital clocks exploit counters whose moduli align with these bases. Recognizing why MOD-6 and MOD-12 show up in clock designs cements understanding of counter selection for system-level requirements.

Given Data / Assumptions:

• Seconds and minutes: 0–59 (requires MOD-60 = MOD-6 × MOD-10).
• Hours: 1–12 or 0–23 (MOD-12 often used for 12-hour format).
• Counters can be cascaded to achieve products of moduli (e.g., MOD-6 with MOD-10).

Concept / Approach:

Using a MOD-6 counter for the units-of-tens (0–5) and a MOD-10 for ones (0–9) yields a natural 00–59 range. Similarly, MOD-12 provides 1–12 hour cycles when combined with appropriate display/offset logic. These counters are thus staple components of digital clocks.

Step-by-Step Solution:

Verification / Alternative check:

Examine common clock ICs or reference designs: seconds are obtained via divide-by-60 chains built from MOD-6 and MOD-10 counters; hours often via MOD-12.

Why Other Options Are Wrong:

Frequency counters generally use large binary/divide-by-N chains not specifically MOD-6/12 focused.

Multiplexed displays concern scanning, not count modulus choice.

Power meters do not inherently rely on MOD-6 or MOD-12 divisions.

Common Pitfalls:

Assuming one counter alone makes a clock; in practice, cascaded moduli (e.g., MOD-6 then MOD-10) are used to form 60-base divisions.

Final Answer:

digital clocks