Equation 3 · Part 8 · How Edge AI Electronics and Sensor Systems Actually Work

Denominator: 2^N

q = \frac{V_{ref}}{2^{N}}

2^{N}

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

2^N occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Full expressionDenominator: 2^NArticle meaning

The passage around this formula

The quantization step itself has a clean expression once gain and reference voltage are fixed. For an ADC with N effective bits resolving a full-scale reference voltage $V_{ref}$ , the size of one quantization step is $q = \frac{V_{ref}}{2^{N}}$ . and, treating quantization error as uniformly distributed over one step, the resulting quantization noise power has a root-mean-square value of q / $\sqrt{12}$ . This is the textbook derivation behind every “effective number of bits” figure a converter data sheet reports, and it is the reason oversampling helps: spreading the same quantization noise power across a wider sampled bandwidth before filtering it back down effectively lowers the in-band noise floor…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

Open the illustrated fractions: division written vertically guide →

Sources cited in the article section

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