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Equation 9 · Part 2 · AI Accelerator Architecture in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol w

weff=w+skw_{\mathrm{eff}} = w + \frac{s}{k}
ww

What this part means

w is part of the quantity the equation computes from the expression on the right.

Its job in the formula

w is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Fact. The move from FP8 to sub-8-bit formats has already happened once, and the mechanism by which it happened exposes the trade-off that will decide whether it happens again. A microscaling format with element width w bits, block size k , and a shared scale of s bits carries an effective per-element cost of weff=w+skw_{\mathrm{eff}} = w + \frac{s}{k}. with the second term the amortised metadata tax. The OCP MX alliance’s MXFP4 uses w = 4 , k = 32 , and an 8-bit shared scale, for weffw_{\mathrm{eff}} = 4.25 bits per element — a roughly 6%…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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