Consider a four-input CMOS NOR logic gate. Determine the \(W / L\) ratios of the transistors to provide for symmetrical switching based on the CMOS inverter design with \((W / L)_{n}=2\) and \((W / L)_{p}=4\).

(b) If the load capacitance of the NOR gate doubles, determine the required \(W / L\) ratios to provide the same switching speed as the logic gate in part (a).