Task 2.2: PROM design with decoders PROM designs can also be made conveniently using x to n decoders for the fixed AND array. a) Use a 3-8 decoder to create a 3 input PROM design without any outputs (use A, B and C as inputs). Showcase your design in the space given. Label the fixed AND array and programmable OR array appropriately. Figure 6: PROM design for Task 2.2 (a) using 3 to 8 Decoder (b) Use this design to implement the following Boolean functions: F1(A, B, C) = (A+B) * (B+C) F2(A, B, C) - AM (1,3,4,7) F3(A, B, C) = m (0,1,2,5,7) Create a truth table for F1, F2 and F3 and identify the logic expressions for each function in terms of inputs A, B and C. Show all working done to arrive at your answers. Figure 7: PROM design for Task 2.2 (b) using 3-8 decoder (Truth table, working and simplified logic expressions) (c) Implement Task 2.2 (b) using Logisim. In the programmable OR array, use the necessary outputs from the 3 to 8 Decoder in conjunction with three OR gates to implement F1, F2 and F3. Label them appropriately. Figure 8: Implementation of Task 2.2 (b) using 3 to 8 decoder PROM with Logisim