Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
Ripple-carry adders are simple but slow because each bit’s carry must wait for the previous bit to resolve. Carry look-ahead logic computes carry signals in parallel using propagate/generate terms, dramatically reducing addition latency. The statement probes your understanding of this well-known speedup method.
Given Data / Assumptions:
Concept / Approach:
Carry look-ahead (also called fast carry) forms expressions such as C1 = G0 OR (P0 * Cin), C2 = G1 OR (P1 * G0) OR (P1 * P0 * Cin), and so on, removing the serial dependence on intermediate sums. Hardware blocks (e.g., 74xx look-ahead generators) compute several carries at once, enabling adders with logarithmic-like carry depth compared to linear ripple paths.
Step-by-Step Solution:
Verification / Alternative check:
Standard digital design texts and classic MSI devices (e.g., 74LS181 with 74LS182 fast-carry) demonstrate significant speed gains by using carry look-ahead rather than ripple propagation.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming carry look-ahead eliminates all delay; it reduces but does not make delay zero. Large adders often use hierarchical or carry-select structures to scale further.
Final Answer:
Correct
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