(1 mark) (b) Find the value(s) of the Boolean variables x and y that does not satisfy x'y + xy' = x'y' (2 marks) (c) Show that the following Boolean expressions are equal by stating the Boolean laws. A'(BC'+ B'C)+ (AB) (A'+C) = A'B'C (6 marks) (d) A safety system in Table 2 uses three inputs .A, B, and C. An alarm, X, sounds Condition 1: if input A represents ON (1) and input B represents OFF (0). OR Condition 2: if input B represents ON (1) and input C represents OFF (0). (1) Construct a Boolean truth table to show the conditions which cause the output X to be 1. A B C I Condition 1 Condition 2 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 Table 2: Safety system