logic circuit - truth table - Boolean expressions

Which Boolean law is used to transform each of the following equations?

a. B + (D + E) = (B + D) + E 

b. CAB=ABC

c. (B + C)(A + D)=  BA + BD + CA + CD

d. D + E = E + D

2) Using Boolean algebra techniques, simplify this expression:

AB +  A(B + C) + B(B + C)

3) Write the Boolean expression for each of the logic circuits below.

4) Draw a logic circuit for circuit represented by each expression:

a. AB’ + A’B

b. AB + A’B: + A’BC

c. A’B(C + D’)

d. A + B[C + D(B + C’)]

5) Construct a truth table for each of the following Boolean expressions:

a. A + B

b. AB

c. AB + BC

d. (A + B)C

e. (A + B)(B’ + C)

6 . Decode the following ASCII coded message and then convert it in hexadecimal see.

7. Write the message in problem 11 in hexadecimal.