GATE ECE - Digital circuits quetion

The resolution of an n bit DAC with a maximum input of 5 V is 5 mV. The value of n is [A]. 8 [B]. 9 [C]. 10 [D]. 11

Sweety
28 Jul
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Shashank
03 Jan

Resolution = Full Scale value / Number of Steps. Number of Steps = (2^N)-1. Resolution = 5 mV. Full Scale value = 5. 5mV = 5 / No. of steps. No. of steps = 1000. No o bits required to represent 1000 levels = log(1000) (Note: log with base 2) N = 9.96 ~ 10.