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What is the step size or the resolution of an A/D converter?

What is the step size or the resolution of an A/D converter? Correct Answer Δ = (R)/2(b+1)

The coding process in an A/D converter assigns a unique binary number to each quantization level. If we have L levels, we need at least L different binary numbers. With a word length of b + 1 bits we can represent 2b+1 distinct binary numbers. Hence we should have 2(b+1) > L or, equivalently, b + 1 > log2 L. Then the step size or the resolution of the A/D converter is given by Δ = (R)/2(b+1), where R is the range of the quantizer.

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