Difficulty: Easy
Correct Answer: Incorrect
Explanation:
Introduction / Context:
Adder architectures trade off complexity and speed. Ripple-carry adders propagate carry serially through each bit, while carry look-ahead (CLA) adders compute carry signals in parallel using generate/propagate logic to reduce delay.
Given Data / Assumptions:
Concept / Approach:
CLA adds logic to compute carries simultaneously across groups, transforming linear carry delay into a shorter, usually logarithmic or block-based delay. Although hardware cost rises, the net effect is faster addition for moderate and wide bit-widths compared to ripple schemes.
Step-by-Step Solution:
Verification / Alternative check:
ASIC/FPGA timing models consistently show CLA outperforming ripple for nontrivial widths; further enhancements (carry-select, carry-skip, parallel-prefix) push speed even higher.
Why Other Options Are Wrong:
Common Pitfalls:
Equating gate count with speed; in arithmetic circuits, structured parallelism often improves timing at the cost of area.
Final Answer:
Incorrect
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