Synchronous Counter: Gate Count vs. Ripple Counter
High-speed digital systems require counters that update all bits simultaneously to avoid transient decoding errors. A 4-bit synchronous up-counter is built using T flip-flops Q0 through Q3. The toggle input T0 is tied high. The subsequent toggle inputs T1, T2, and T3, along with the terminal count output TC, are driven by a parallel carry chain using standard AND gates.
A parallel 4-bit ripple counter is built using the exact same T flip-flops. Compare the combinational logic overhead of the synchronous design against the ripple design. Determine the total gate input count for the synchronous carry chain and evaluate the area versus speed tradeoffs.
Constraints
- Assume standard multi-input AND gates are available for the synchronous carry chain.
- The ripple counter uses exactly zero external combinational logic gates.
- The terminal count
TCmust assert when all bitsQ0throughQ3are high.
Topics
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