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Booth Recoding Multiplier
Radix-4 Booth multiplier design with verified RTL and an exhaustive golden model — halve your partial products without sign-extension bugs.
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See it in action
You say
Generate a 16-bit signed Radix-4 Booth multiplier in Verilog with the corresponding Python golden model for verification.
Your agent does
RTL generated: booth_mult_16x16.v (parameterized).
Logic: Radix-4 recoding, 8 partial products, MSB inversion for sign-prevention.
Correction Vector C: 0xAAAA8000.
Run python3 scripts/booth_golden.py --width 16 to verify against hardware-accurate partial products.
What you get
About this skill
Build radix-4 (modified Booth) multipliers that actually work on the first synthesis.
What you get:
- The complete radix-4 recoding tables and encoder equations, with the sign-extension-prevention correction vector derived in closed form — the part most implementations get wrong.
- One's-complement negative partial products with separate correction bits, signed AND unsigned operand handling (including the extra top digit unsigned operands need).
- Parameterized Verilog-2001: digit encoder, partial-product generator, and a full generate-loop multiplier — compiled and simulated with 1,515 checks, 0 errors, including the INT_MIN x INT_MIN corner.
- A pure-stdlib Python golden model that reproduces the hardware algorithm bit-exactly (rows + neg bits + correction vector, not a shortcut a*b) — verified exhaustively on all 65,536 signed 8x8 pairs plus random 32x32, with a debug CLI that prints the recoded digits for any operand pair.
- An honest FPGA-vs-ASIC section: when Booth pays off on LUT fabrics and when a plain AND-array partial-product multiplier is the better choice.
Run python3 scripts/booth_golden.py after install: it self-tests in seconds and exits 0. Every claim in this skill is backed by that runnable evidence.
Changelog
- v1.1LatestAug 8, 2026
Updated skill file
- v1.0Aug 8, 2026
Initial release
How to install
Drop the file into your AI Agent. Works with Claude, Cursor, ChatGPT, and 20+ more.
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We sell high-quality skills only – not the standard knowledge any language model already has. Every skill is tested and reviewed by us before it's listed. Our goal: using our skills should let you build your own business and actually make money. Wir verkaufen ausschließlich hochwertige Skills – keine Standard-Antworten, die ohnehin jedes Sprachmodell liefert. Jeder Skill wird von uns getestet und geprüft, bevor er hier gelistet wird. Unser Anspruch: Mit unseren Skills sollst du dein eigenes Geschäft aufbauen und wirklich Geld verdienen können.
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