Discussion
Match List-I with List-II :
| List-I : Number on Display | List-II : ADC |
|---|---|
| (a) 1072 | (i) 8-bit |
| (b) 893 | (ii) 10-bit |
| (c) 132 | (iii) 12-bit |
| (d) 59705 | (iv) 16-bit |
Answer: B
The correct matching is a-iii, b-ii, c-i, d-iv.
An n-bit ADC can show the codes 0 to 2n - 1, so a display reading needs the smallest ADC whose top code is not exceeded:
\[ \text{8-bit: }0\text{ to }255 \]
\[ \text{10-bit: }0\text{ to }1023 \]
\[ \text{12-bit: }0\text{ to }4095 \]
\[ \text{16-bit: }0\text{ to }65535 \]
132 is at most 255, so an 8-bit ADC is enough: (c) with (i). 893 is above 255 and at most 1023, so 10-bit: (b) with (ii). 1072 is above 1023 and at most 4095, so 12-bit: (a) with (iii). 59705 is above 4095 and at most 65535, so 16-bit: (d) with (iv).
The other codes break at least one of these ranges, for example putting 893 on an 8-bit ADC, which cannot show a number above 255.
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