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Codiode/Problems/Sequential Logic

Up/Down Counter: Direction Change at Terminal Count

HardLogic CircuitTiming Diagram

A positive-edge-triggered 4-bit synchronous up/down counter increments its value when UP_DN is 1 and decrements when UP_DN is 0 at each LOW-to-HIGH transition of CLK.

Six signals are shown: CLK (clock, period 2), UP_DN (direction control input), and Q3, Q2, Q1, Q0 (outputs, initially 1110). Q3 represents the most significant bit.

Trace Q3, Q2, Q1, and Q0 across all 12 time steps.

Constraints

  • The counter wraps around at its limits: 15 increments to 0, and 0 decrements to 15.
  • The direction input UP_DN is evaluated exactly at the rising edge of CLK.

Topics

CountersState MachinesEdge Triggering

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Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.

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