Exercises for chapter 2 – VLSI Design 1. Sketch a transistor level schematic for a CMOS 4-input NOR gate. 2. Sketch a transistor level schematic for a single-stage CMOS logic gate for each of the

following function: a. 𝑌𝑌 = 𝐴𝐴𝐴𝐴𝐴𝐴 + 𝐷𝐷������������ b. 𝑌𝑌 = (𝐴𝐴𝐴𝐴 + 𝐴𝐴) ∙ 𝐷𝐷���������������� c. 𝑌𝑌 = 𝐴𝐴𝐴𝐴 + 𝐴𝐴 ∙ (𝐴𝐴 + 𝐴𝐴)����������������������

3. Sketch transistor level schematics for the following logic functions. You may assume you have both true and complementary versions of the input variable

a. A 2:4 decoder defined by:

𝑌𝑌0 = 𝐴𝐴0���� ∙ 𝐴𝐴1

𝑌𝑌1 = 𝐴𝐴0 ∙ 𝐴𝐴1

𝑌𝑌2 = 𝐴𝐴0���� ∙ 𝐴𝐴1

𝑌𝑌3 = 𝐴𝐴0 ∙ 𝐴𝐴1 b. A 3:2 priority encoder defined by:

𝑌𝑌0 = 𝐴𝐴0���� ∙ (𝐴𝐴1 + 𝐴𝐴2 𝑌𝑌1 = 𝐴𝐴0���� ∙ 𝐴𝐴1

4. Sketch a stick diagram for 4-input NOR gate 5. Consider the design of a CMOS compound OAI21

a. Sketch a transistor level schematic b. Sketch a stick diagram

6. Repeat the exercise 5 with CMOS compound OAI22 7. A 3-input majority gate returns a true output if at least two of the inputs are true. A

minority gate is its complement. Design a 3-input CMOS minority gate using single-stage of logic

a. Sketch a transistor-level schematic b. Sketch a stick diagram c. Design the minority gate using CMOS NANDs, NORs and inverters gate. How

many transistors are required?