GATE EC 2014 Set 3 — Question 24
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Digital Circuits → Data Converters → Resolution & Quantization Error
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Question
An analog voltage in the range 0 to 8 V is divided in 16 equal intervals for conversion to 4-bit digital output. The maximum quantization error (in V) is _________
Correct answer
0.24 to 0.26
Solution
Given:
Analog voltage range to V
Number of quantization intervals
Number of bits (Note: , which matches the number of intervals)The step size (quantization interval) is calculated as:The maximum quantization error for a uniform quantizer is given by half of the step size:The value V falls within the specified range of 0.24 to 0.26.
Analog voltage range to V
Number of quantization intervals
Number of bits (Note: , which matches the number of intervals)The step size (quantization interval) is calculated as:The maximum quantization error for a uniform quantizer is given by half of the step size:The value V falls within the specified range of 0.24 to 0.26.
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