Synchronous Counter Carry Chain
A 4-bit synchronous up-counter increments its state on the positive edge of CLK when EN is HIGH, while the combinational carry-out COUT asserts when EN and all state bits are HIGH.
Five input signals are shown: CLK (clock, period 2), EN (count enable), and the lower three state bits Q0, Q1, and Q2.
Trace the most significant bit Q3 (initially 1) and the combinational carry-out COUT across all 16 time steps.
Constraints
- Output
Q3updates only on the LOW-to-HIGH transition ofCLK. - Output
COUTis strictly combinational and reflects the logical AND ofEN,Q0,Q1,Q2, andQ3instantly.
Topics
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