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The document referenced in the blog does not say anything about the single transistor multiply.

However, [1] provides the following description: "Taalas’ density is also helped by an innovation which stores a 4-bit model parameter and does multiplication on a single transistor, Bajic said (he declined to give further details but confirmed that compute is still fully digital)."

[1] https://www.eetimes.com/taalas-specializes-to-extremes-for-e...

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It'll be different gates on the transistor for the different bits, and you power only one set depending on which bit of the result you wish to calculate.

Some would call it a multi-gate transistor, whilst others would call it multiple transistors in a row...

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That, or a resistor ladder with 4 bit branches connected to a single gate, possibly with a capacitor in between, representing the binary state as an analogue voltage, i.e. an analogue-binary computer. If it works for flash memory it could work for this application as well.
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That's much more informative, I think my original comment is quite off the mark then.
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I'd expect this is analog multiplication with voltage levels being ADC'd out for the bits they want. If you think about it, it makes the whole thing very analog.
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Note: reading further down, my speculation is wrong.
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