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Signed serial-/parallel multiplication

Signed serial-/parallel multiplication

Markus Nentwig
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Keywords: Binary signed multiplication implementation, RTL, Verilog, algorithm Summary A detailed discussion of bit-level trickstery in signed-signed multiplication Algorithm based on Wikipedia example Includes a Verilog implementation with...


Summary

This blog post dissects bit-level techniques for implementing signed-by-signed multiplication and presents an algorithm derived from a Wikipedia example. Readers will get practical guidance and a complete RTL Verilog implementation showing how to realize serial/parallel signed multipliers efficiently.

Key Takeaways

  • Implement a signed serial/parallel multiplication algorithm in RTL Verilog using the provided reference code
  • Apply bit-level tricks for two's‑complement signed-by-signed multiplication to reduce logic and simplify sign handling
  • Analyze trade-offs between serial, parallel, and hybrid multiplier architectures for area, latency, and resource use
  • Optimize multiplier RTL for FPGA/ASIC targets by recognizing common patterns and avoiding costly constructs
  • Validate signed multiplier behavior with testbenches and corner-case checks shown in the examples

Who Should Read This

FPGA/ASIC digital design and DSP engineers with practical RTL experience who need to implement or optimize signed multipliers for real-time systems or communications applications.

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Topics

Real-Time DSPCommunicationsFFT/Spectral Analysis

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