An analog voltage is in the range of 0 to 8 V is divided in eight equal intervals for conversion to 3-bit digital output. The maximum quantization error is

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VSSC ISRO Technical Assistant Electronics 8 Feb 2015 Official Paper
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  1. 0 V
  2. 0.5 V
  3. 1 V
  4. 2 V

Answer (Detailed Solution Below)

Option 2 : 0.5 V
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Detailed Solution

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Concept:

The concept of converting an analog signal to its digital counterpart is explained with the help of the following diagram:

∴ The maximum quantization is given as:

Δ = step size given by:

L = Number of levels

Calculation:

With n = 3, the number of levels will be:

L = 23 = 8

With analog input in the range 0 to 8 V and L = 8, the step size will be:

Now, the maximum quantization error will be:

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