resistor mismatch and the resolution

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shanmei

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For a 10bit resistor string DAC, if the INL is required to be less than 1LSB. Why the resistor mismatch delta(R)/R< 1/(2^9)? Why not delta(R)/R< 1/(2^10)?

Thank you.
 

Weight of highest bit = 512
Weight of lowest bit = 1

Error in highest bit that corresponds to the weight of the lowest bit = 1/512 = 1/(2^9)
 
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