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A 10-bit ADC has a full-scale of 10.230 V, when the digital output is (11 1111 1111)2. The quantization error of the ADC in millivolt is _________.

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Concept:

An ADC takes analog input and gives output corresponding to the quantized level in the discrete domain. This conversion introduces quantization error in the output. 

For 'n' bit ADC having full-scale reading as Vfs,

 \(Resolution={V_{fs}\over2^n-1}\)

Quantization error = resolution / 2

Application:

Given number of bits, n = 10

Vfs = 10.23 V  

So, Resolution

 \(=\normalsize{10.23\over 2^{10}-1}\) 

= 10 mV

Quantization error 

 \(=\frac{10}{2}\) 

= 5 mV

 

Resolution determines the precision of a measurement.

As the number of bits of ADC is increased, quantization error decreases but the cost of ADC increases.

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