Replace Schoolbook Steps With Parallel Structure

A Wallace tree reduces many partial-product rows through carry-save compression before one final adder resolves the result. A Han-Carlson parallel-prefix adder computes carries through a balanced network with a practical wiring tradeoff.

FMA joins multiplication and addition before rounding, improving both performance and numerical behavior. Newton-Raphson uses repeated multiply-add operations to refine reciprocals and other functions rapidly.

Put the Whole Neural Network on the Chip

These arithmetic blocks can form deeply pipelined tensor engines, activation units, normalization paths, and training hardware. Old patents and public literature expose a rich engineering lineage.

Study the structures, implement them in Verilog, verify their arithmetic, and carry the design through FPGA or ASIC. The path from one adder to a complete custom AI chip remains open.

Build the Arithmetic Beneath Learn How Chips Multiply and Add

The Bit-Serial Bubbles-Free Multiplier turns local switching, state, and scheduling into a complete arithmetic engine.

Why Open-Source ASIC IP Is Hard: FMA From RTL to GDSII · Bit-Serial Bubbles-Free Multiplier · Begin with Boolean logic, a visible circuit, and the FPGA toolchain