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The min step size for 8 bit is 1/64th of the Max voltage.
For 16 Bit it is 1/65536 of Max Voltage
Hence it is not possible.
Another way to look is that A to D converter is non-linear process.
IN order to use 2x8 Bit ADC as 16 Bit ADC would have meant that A to D conversion is a Linear process.

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