What is the step size or the resolution of an A/D converter?(a) Δ = (R)/2^(b+1)(b) Δ = (R)/2^(b-1)(c) Δ = (R)/3^(b+1)(d) Δ = (R)/2I have been asked this question by my college professor while I was bunking the class.I want to ask this question from Quantization and Coding in division Sampling and Reconstruction of Signals of Digital Signal Processing

What is the step size or the resolution of an A/D converter?(a) Δ = (

1.	What is the step size or the resolution of an A/D converter?(a) Δ = (R)/2^(b+1)(b) Δ = (R)/2^(b-1)(c) Δ = (R)/3^(b+1)(d) Δ = (R)/2I have been asked this question by my college professor while I was bunking the class.I want to ask this question from Quantization and Coding in division Sampling and Reconstruction of Signals of Digital Signal Processing
Answer» The correct choice is (a) Δ = (R)/2^(b+1) Explanation: 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 2^b+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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