Task 4.1: PLA design using simple Boolean Logic Implement the following Boolean functions using PLA: F1(A, B, C) = (AB + AC + BC) F2(A, B, C) = A'B' + A'C' + ABC a) Create a truth table for F1 and F2 and identify simplified logic expressions using K-map for each function in terms of inputs A, B and C. Use a PLA programming table. Show all working done to arrive at your answers. Mark the interconnection in Fig. 18. [8+6 marks] Figure 16. Working for PLA Design (K-map simplification) for Task 4.1 16 A Programmable OR Plane B Programmable AND Plane BAA F1 F2 Figure 18: PLA implementation for Task 4.1 17 b) Use four AND three input AND gates and two OR gates to implement the PLA design in Logisim for F1 and F2. [10 marks)