A digital circuit has three inputs A, B and C, and three outputs X,Y and Z. The truth table is given below. Determine separate boolean expressions for X, Y and Z.

C B A X Y Z

0 0 0 1 0 0

0 0 1 0 1 0

0 1 0 0 1 0

0 1 1 0 0 1

1 0 0 0 1 0

1 0 1 0 1 0

1 1 0 1 0 0

1 1 1 0 0 1