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Equation 2 · Part 4 · How Edge AI Electronics and Sensor Systems Actually Work

=

Δ=VFS/2N\Delta = V_{FS}/2^{N}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Once the signal is a clean, conditioned voltage, it has to become a digital code, and that conversion is not free either. An analog-to-digital converter maps a continuous voltage onto one of 2^N discrete codes spaced by a quantization step Δ\Delta = VFSV_{FS}/2^{N} , and that rounding itself injects noise, with power approximately Δ2\Delta^2/12 spread across the sampled bandwidth. The industry-standard way to describe and test this — offset error, gain error, integral and differential nonlinearity, effective number of bits — is defined by IEEE Standard 1241, which exists precisely so that a converter from one vendor can be compared against another using the same measured definitions rather than…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.