How many bits are required for a ladder d/a converter, Computer Engineering

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How many bits are required at the input of a ladder D/A converter, if it is required to give a resolution of 5mV and if the full scale output is +5V. Find the %age resolution.

Ans. Firstly we determine the ratio of Full scale output to Resolution i.e. = 5V / 5 mV = 1000.
Then number of bits = log₂ 1000 = 10.
Percentage value of Resolution = 5 mV / 5 V * 100 = 0.1%

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