A digital-to-analog converter with a full-scale output voltage of 3.3 V has a resolution...
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A digital-to-analog converter with a full-scale output voltage of 3.3 V has a resolution close to 14 mV. Its bit size is:
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Answer: B. B) 8
Resolution = V_FS / (2^N - 1) ≈ 3.3 / 2^N ≈ 0.014 V => 2^N ≈ 3.3 / 0.014 ≈ 235.7. The nearest standard binary power is 2^8 = 256, so bit size N = 8.
Step-by-step Derivation:
Step 1: Resolution delta_V = V_FS / (2^N - 1).
Step 2: 0.014 = 3.3 / 2^N => 2^N = 3.3 / 0.014 ≈ 236.
Step 3: N = log2(256) = 8 bits.