### Describe how does a transistor work?Draw a diagram to show how to construct NOR-gates using transistors.,Draw a diagram for the Boolean expression X= AB+AC.

**INSTRUCTIONS TO CANDIDATES**
###### ANSWER ALL QUESTIONS

Answer the following questions. Please work out each question on a piece of paper and take a picture and upload it to the assignment folder for HW3.

- In most programming languages, we use 4 bytes=32bits to represent integers, which is typically coded as "int x". Please explain what will be the binary representation for -1, and what will be the maximum positive integer can be represented.

- In most programming languages, we have two different ways to represent real numbers, which are coded as "float x" or "double x". Please do research online and find out how to represent a negative real number using "float format".

Q1: Describe how does a transistor work?

Q2: Please use three ways (truth table, logical diagram and Boolean expression) to describe AND-gate.

Q3: Please use three ways (truth table, logical diagram and Boolean expression) to describe XOR-gate.

Q4: Draw a diagram to show how to construct NOR-gates using transistors.

Q5: Draw a diagram for the Boolean expression X= AB+AC.

Q6: Draw a diagram for X = (AB+C)D.

Q7: Draw a diagram for X=(A+AB)B.

Q8: Draw a diagram for X = (AB+(A+C))B

Q9: Find the Boolean expression for the following diagram (A problem from UCLA math website: http://www.math.ucla.edu/~radko/circles/lib/data/Handout-1268-1278.pdf).

Q10. Find the Boolean expression for the following diagram (A problem from UCLA math website: http://www.math.ucla.edu/~radko/circles/lib/data/Handout-1268-1278.pdf) .

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