Please show ALL steps!!! All simplification and implementation steps!!!!

Implement given functions F1, F2, and F3 using a Programmable Logic Array (PLA) (Implement all together in one PLA)

13. (6 Points) Implement given functions F1, F, and F; using a Programmable Logic Array (PLA)(Implement all together in one PLA). F(1, 12, 13, 10, S.So) = mo + m + m + mes F (1,19,1.10, S.S.) = 4-to-1 MUX with inputs Is.1,1,1, and selects S, S. (Exclude the enable) F. (13. 12, 13, 7, S.S.) = $1.S+ 1.(S. + SY+ 57.147.51