Adder acceleration techniques: Confirm or refute the statement: “A technique to accelerate parallel addition by bypassing the ripple delay of carry propagation is called fast carry, or look-ahead carry.”

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:

  • Parallel adder with multiple bit-slices.
  • Desire to reduce the dependency chain of carries.
  • Use of propagate (P) and generate (G) terms to predict carries early.


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:

Define per-bit propagate P_i = A_i XOR B_i and generate G_i = A_i AND B_i.Form carry equations in parallel using OR and AND combinations.Compute all carries rapidly, then compute final Sum_i = P_i XOR C_i.This bypasses the ripple delay, achieving “fast carry.”


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:

  • Incorrect / serial adders / sub-1 MHz only / fan-in only: These either restrict the concept improperly or confuse architectural speed limits with the core idea of parallel carry computation.


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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