1) Implement each side with gates, that is a block diagram/schematic

a+(b+c) = (a+b)+c

a(b+c) = ab + ac

2) Make a truth table for each of the functions below and identify where each term comes from in the truth table

a. F=XY+YZ+XYZ

b. G=XY+(X+Z)(Y+Z)

c. H=WX+XY+WXZ+XYZ+WXY

3) For the expression

F = ABC + ABC + ABC

How many literals are there ___________

How many terms are there ___________

4) F(a,b,c,d) = m(0,1,4,7,12)

Find the canonical sum (which is a SOP) F= ____________________________________

Find the number of terms ___ and literals ______

5) Simplify each to a minimum SOP stating the key properties used in each step

F = a(a+b)

G = xy(x+yz)

H = (a+b)(ac+b)

F = (A+B+C)(AC+AB)

G = AB(AB+C)

K = (1+B)CD

J = (AB+A)B

D = (X+0)(AX+B)

F = A(A+XY)

H = (AB + AB)(AB+AB)

6) Find the dual of (x+y) = xy