Let's design CMOS logistic gate F (A, B, C, D) = A + (B•C) + D. For PMOS transistors and NMOS transistors of the same size, consider a fabrication process that is four times the resistance of the PMOS transistor. Assume that all diffusion areas have no sharing. Unit inverter refers to a minimum-sized inverter that makes rise resistance (also called pullup resistance) and fall resistance (also called pulldown resistance) equal by sizing the CMOS inverter shown in the following figure with PMOS:NMOS = 4:1. Vin VDD J -Vout GND (a) Draw the transistor-level schematic of CMOS logic gate F consisting of PMOS and NMOS. (b) In the worst case scenario, size the PMOS and NMOS transistors of CMOS logic gate F to have the same rise and fall resistance as unit inverter. (c) Find the logical effect gA and intrinsic delay p of CMOS logic gate F with respect to Input A.

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Let's design CMOS logic gate \( F (A, B, C, D) = A + (B \cdot C) + D \). For PMOS transistors and NMOS transistors of the same size, consider a fabrication process that is **four times** the resistance of the PMOS transistor. Assume that all diffusion areas have no sharing. A unit inverter refers to a minimum-sized inverter that makes rise resistance (also called pullup resistance) and fall resistance (also called pulldown resistance) equal by sizing the CMOS inverter shown in the following figure with PMOS:NMOS = 4:1.

**Diagram Description:**

A CMOS inverter circuit is depicted. It consists of:
- A PMOS transistor at the top, connected to \( V_{DD} \).
- An NMOS transistor at the bottom, connected to GND.
- The input voltage \( V_{in} \) is applied at the gate of both transistors.
- The output voltage \( V_{out} \) is taken from the connection between the PMOS and NMOS transistors.
- Both transistors are shown in a typical inverter configuration.

**Tasks:**

(a) Draw the transistor-level schematic of CMOS logic gate \( F \) consisting of PMOS and NMOS.

(b) In the worst-case scenario, size the PMOS and NMOS transistors of CMOS logic gate \( F \) to have the same rise and fall resistance as a unit inverter.

(c) Find the logical effect \( g_A \) and intrinsic delay \( p \) of CMOS logic gate \( F \) with respect to Input \( A \).
Transcribed Image Text:Let's design CMOS logic gate \( F (A, B, C, D) = A + (B \cdot C) + D \). For PMOS transistors and NMOS transistors of the same size, consider a fabrication process that is **four times** the resistance of the PMOS transistor. Assume that all diffusion areas have no sharing. A unit inverter refers to a minimum-sized inverter that makes rise resistance (also called pullup resistance) and fall resistance (also called pulldown resistance) equal by sizing the CMOS inverter shown in the following figure with PMOS:NMOS = 4:1. **Diagram Description:** A CMOS inverter circuit is depicted. It consists of: - A PMOS transistor at the top, connected to \( V_{DD} \). - An NMOS transistor at the bottom, connected to GND. - The input voltage \( V_{in} \) is applied at the gate of both transistors. - The output voltage \( V_{out} \) is taken from the connection between the PMOS and NMOS transistors. - Both transistors are shown in a typical inverter configuration. **Tasks:** (a) Draw the transistor-level schematic of CMOS logic gate \( F \) consisting of PMOS and NMOS. (b) In the worst-case scenario, size the PMOS and NMOS transistors of CMOS logic gate \( F \) to have the same rise and fall resistance as a unit inverter. (c) Find the logical effect \( g_A \) and intrinsic delay \( p \) of CMOS logic gate \( F \) with respect to Input \( A \).
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