Multiplier Critical Path Analysis
Multipliers dominate the combinational delay in modern processors. The circuit provided is a standard 4x4 array multiplier generating an 8-bit product P[7:0] from two 4-bit inputs A[3:0] and B[3:0]. The architecture consists of an initial layer of AND gates for partial product generation, followed by a grid of Half Adders (HA) and Full Adders (FA) to accumulate the sums.
Trace the signal propagation through the adder array. Determine the critical path responsible for the maximum combinational delay, specifically targeting the generation of the final carry bit P[7].
Constraints
- Assume standard gate delays: AND gates have a delay of 1 unit.
- Full Adders (FA) have a uniform delay of 2 units for both sum and carry generation.
- The 4x4 array uses a ripple-carry structure in its final addition row.
- Inputs
AandBarrive simultaneously at time t=0.
Topics
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