Construct the truth tables for the following functions. Note that ! is used to indicate the Boolean operation of NOT (invert) while * is used to indicate the Boolean AND, and the + indicates OR. The truth table should include the value of F for all possible input combinations.

a) F = (A+B)*(!B+C)

b) F = A * C + !A * B * !C + A * !B * C

c) F = X * !Y + !X * Z + Y * !Z