1. Using Truth Table prove that:

1. (A B) = AB + AB
2. (A B) = AB + AB

2. Simplify the following expression by using the simplification theorem. You should be able to simplify this to two product terms.

F = AB + ABC + ABC + ACD

Hints: You may have to use multiple simplification theorems. Try one at a time.

3. Use DeMorgans Theorem to obtain SOP expression for each of the following:

1. ( (x + z)(xy )
2. ( (xy) (y + z))

4. Given 4 input variables: A, B, C and D.

Find out the algebraic expressions of the following minterms and maxterms.

1. m₉
2. M₁₁
3. m₅
4. M₇
5. m₁₃