1. (2 marks) Consider a digital circuit whose outputs are defined by the following truth table. f1f2abc 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 a) Write and simplify the Boolean equations describing the outputs f₁ and f₂; b) Draw the logic diagrams of the outputs f₁ and f₂ from the simplified expressions.