A Boolean function is given as $f = (\bar{u} + \bar{v} + \bar{w} + \bar{x}) \cdot (\bar{u} + \bar{v} + \bar{w} + x) \cdot (\bar{u} + v + \bar{w} + \bar{x}) \cdot (\bar{u} + v + \bar{w} + x)$ The simplified form of this function is represented by

In the circuit, $I{\text{DC}}$ is an ideal current source. The transistors $M1$ and $M2$ are assumed to be biased in saturation, wherein $V{\text{in}}$ is the input signal and $V{\text{DC}}$ is fixed DC voltage. Both transistors have a small signal resistance of $r{ds}$ and trans-conductance of $gm$. The small signal output impedance of this circuit is !image(https://uadmin.udsfgecw.tech/file/download/public/public:a11836ea-41ec-485d-90cb-c7c81d9d032c.jpg)

In the circuit, shown below, if the values of R and C are very large, the form of the output voltage for a very high frequency square wave input, is best represented by !image(https://uadmin.udsfgecw.tech/file/download/public/public:6aaedc63-d1af-4d03-9526-8b05415e7c8e.jpg)

Which one of the following statements is true about the small signal voltage gain of a MOSFET based single stage amplifier?