Consider the following voltage reading in which the nominal closed-loop voltage gain of the (ideal) operational amplifier is and the dc output voltage is .

Both resistors are rated at , composed by metal film with thermal coefficients and thermal resistances .

The analog-to-digital converter is unipolar, rail-to-rail input, has bits, and can be assumed perfect.

Determine the minimum nominal value of the resistor for which the gain error is imperceptible.