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Inverter VTC and Noise Margin 5. (30 points) Given an CMOS inverter, please answer the following question: (a) (10 points) Derive the analytic expressive of the CMOS inverter VTC, i.e., Vout as a function of Vin for region 2 and region 4. Assume |Vtp| = Vtn and kn = kp. (b) (10 points) Assume |Vtp| = Vtn = 0.5V and kn = kp, then calculate the noise margin for an inverter operating at VDD = 1.5 V. (c) (10 points) If pMOS is biased to 0 V, i.e., Vgs,p = -VDD, does the VTC of this inverter shift right or left? Justify your answer.

Inverter VTC and Noise Margin 5. (30 points) Given an CMOS inverter, please answer the following question: (a) (10 points) Derive the analytic expressive of the CMOS inverter VTC, i.e., Vout as a function of Vin for region 2 and region 4. Assume |Vtp| = Vtn and kn = kp. (b) (10 points) Assume |Vtp| = Vtn = 0.5V and kn = kp, then calculate the noise margin for an inverter operating at VDD = 1.5 V. (c) (10 points) If pMOS is biased to 0 V, i.e., Vgs,p = -VDD, does the VTC of this inverter shift right or left? Justify your answer.

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Inverter VTC and Noise Margin 5. (30 points) Given an CMOS inverter, please answer the following question: (a) (10 points) Derive the analytic expressive of the CMOS inverter VTC, i.e., Vout as a function of Vin for region 2 and region 4. Assume |Vtp| = Vtn and kn = kp. (b) (10 points) Assume |Vtp| = Vtn = 0.5V and kn = kp, then calculate the noise margin for an inverter operating at VDD = 1.5 V. (c) (10 points) If pMOS is biased to 0 V, i.e., Vgs,p = -VDD, does the VTC of this inverter shift right or left? Justify your answer.

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