Help with redundancy in conventional SAR ADC

jatin123

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Suppose i have a 10 bit SAR ADC (conventional switching) with 3 binary weighted redundant bits. C10 C9 C8 C8R C7 C6 C5 C5R C4 C3 C2 C2R C1 with weights 512 256 128 128 64 32 16 16 8 4 2 2 1

How to convert the 13 bit code to 10 bit code.?

I added them like this:

C10 C9 C8
————C8R C7 C6 C5
——————————C5R C4 C3 C2
————————————————-C2R C1

There seems to be a gain error in the output which reduces the range. Is that expected?
 
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Those "redundant bits" I imagine would be switched-in replacements for their co-named main bits. Presumably some select logic with RAM, NV or hard trim bits programmed at early test or some cal cycle if rewritable.
 


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