Let X = \( \rm A \overline{BC} + B \overline{CA} + C \overline{AB} \). Evaluate X for (a) A = 1, B = 0, C = 1 (b) A = B = C = 1, and (c) A = B = C = 0.

Design a logical circuit using AND, OR, and NOT gates to evaluate \( \rm A \overline{BC} + B \overline{CA} \).

Show that \( \rm AB + \overline{AB} \) is always 1.