(4 points) Show that f : {0, 1}2 + {0, 1}2; f(a, b) = (a, a XOR b) is bijective. Also show show that the functions g and h, g : {0, 1}2 -> {0, 1}2; f(a, b) = (a, a AND b) h : {0, 1}2 -> {0, 1}2; f(a, b) = (a, a OR b) are not bijective. Explain how this relates to the array storage question from homework 1