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For K-12 Students · ADC Quantization

ADC Quantization for a signal filter

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a signal filter live below — adjust the inputs and watch it respond, right in your browser.

ADC Quantization NoiseLive

how many bits is enough?

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Resolution (bits)

Signal frequency

An analog-to-digital converter rounds each sample to the nearest of 2ᴺ levels, adding quantization noise. Each extra bit halves the step size and adds about 6 dB of signal-to-noise ratio — the famous 6.02N + 1.76 dB rule. Educational tool.

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Data Inspector

Levels8

Ideal SNR19.8 dB

Step size0.2500

Governing equation

SNR = 6.02 N + 1.76 = 19.8 dB, Δ = \frac{F S}{2 ^{3}} = 0.2500, \overline{n^{2}} = \frac{Δ ^{2}}{12} = 5.21 e - 3

Reading this result: Each extra bit halves the step size and adds about 6 dB; 3 bits gives 8 levels and roughly 19.8 dB of SNR.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "ADC Quantization for a signal filter" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.