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We describe the design of two three dimensional arithmetic units (a 3D adder and a 3D multiplier) that are implemented using through-silicon-via 3D stacking technology. Compared to their 2D counterparts, our 3D adder incurs 10.6–34.3% less delay and 11.0–46.1% less energy when the width increases from 12-bit to 72-bit; the 32×32 3D multiplier incurs 14.4% less delay and 6.8% less energy, according to the post place and route results. The prototype chip including the implementations of a 3D adder, a 3D multiplier, and simple test interface has been delivered for fabrication in MIT Lincoln Laboratory, using their 3-tier SOI based 3D technology.
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Ouyang et al. (2009) studied this question.
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