1. Using the drawings at the end of this document: a. Draw a picture of a PAL programmed to implement f(a, b, c)=a'b'c+a'b and g(a, b, c)=abc+a'b'c b. Draw a picture of a PLA programmed to implement f(a, b, c) = a'b'c+ ab+ a'bc' and g(a, b, c) =a'b'c+ a'bc'+abc 2. Write VHDL code similar to that shown in the class notes, that implements the function f(x, y, z)= x'y+z'. 3. B&V Problem 2.8 4. B&V Problem 2.31 5. B&V Problem 2.39 6. Design the simplest circuit that implements the function f(a, b, c) = m(1, 3, 4, 6, 7) using only NAND gates. 7. Design the simplest circuit that implements the function f(a, b, c)= m(3, 4, 6, 7) using only NOR gates. You may use a computer program to simplify F(a, b, c). 8. Simplify the following Boolean functions using a 3-variable Karnaugh Map: a. F(X, Y, Z) =Em(1, 3, 6, 7) b. F(X, Y, Z)=2m(3, 5, 6, 7) c. F(X, Y, Z)=2m(0, 1, 2, 4, 6) d. F(X, Y, Z)=Em (0, 3, 4, 5, 7) -5 X3 P P P3 P4