Please help me solve questions 1-4, I'm a bit confused

For each question please write the answers into the text editor at the bottom of each question.

For reading and writing truth tables in this assignment, the following conventions should be used:

1. write a truth table using this symbol: -->

2. write the inputs for the truth table to the left of the --> and write the outputs for the truth table to the right of the -->

3. write the compliment, or NOT using '

QUESTION 1:

Using the format for truth tables explained in the lab assignment instructions, write the truth table for the boolean expressions for a), b), c), and d):

a) Write the truth table for A NAND B

b) Write the truth table for A NOR B

c) Write the truth table for NOT A OR NOT B

d) Write the truth table for NOT A AND NOT B

Provide the answer for e) underneath the truth tables for a), b), c), and d):

e) Explain in English how DeMorgan's Theorems can be explained by the truth tables made for a), b), c), and d). Write your explanation in 4 sentences or less.

QUESTION 2:

Using the format for truth tables explained in the lab assignment instructions, write the truth table for the boolean expressions for a) and b):

a) Write the truth table for the boolean expression

A OR (B AND D) OR (C AND D)

b) Write the truth table for the boolean expression

(A+B+C)(A+B+D)(A+C+D)

Provide the answer for c) underneath the truth tables for a) and b):

c) Explain in English how the expressions in a) and b) are related. Write your explanation in 4 sentences or less.

QUESTION 3:

Given the following Boolean equation:

F = A XOR B XOR C XOR D

that represents a digital logic circuit where the output is F and the inputs A, B, C, and D, use the format for truth tables explained in the lab assignment instructions and write the truth table for the Boolean equation.

QUESTION 4:

A particular kind of digital logic circuit is made with and two AND gates, and one OR gate. The Boolean equation that represents the digital logic of the circuit is

C = (A S) +(B S)

Write the truth table for the digital logic using the format for truth tables explained in the lab assignment instructions.