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Codiode/Problems/Sequential Logic

Mod-N Counter: Non-50% Duty Cycle Analysis

MediumLogic CircuitTiming Diagram

A synchronous mod-5 counter increments its internal binary state from 0 to 4 on every positive edge of the clock, returning to 0 after reaching 4 or when the synchronous reset is active. Three signals are shown: CLK (clock, period 2), RST (synchronous active-high reset), and Q0 (the least significant bit of the internal state, initially 0). Trace Q0 across all 16 time steps to observe its non-50% duty cycle.

Constraints

  • The counter state updates only on the LOW-to-HIGH transition of CLK.
  • The internal state uses standard binary encoding: 000, 001, 010, 011, 100.
  • RST is synchronous and takes priority over the counting action.

Topics

Sequential LogicCountersDuty Cycle

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