please explain how do we calculate or get F. and how to do the K-map

2.4 Design a switching logic (minimum SOP) that has five input variables and one output variable. Four of the input variables (B, C, D, E) represent BCD digits, and the fifth is a control line (A). While the control line is at logic 0, the output should be logic 1 if and only if the BCD digit is odd number. While the control line is at logic 1, the output should be logic 1 if and only if the BCD digit is even number. a) Based on the above description, fill in the truth table below, b) Use K-Map to derive minimum SOP of the function. (8 pts) (10 pts) Note - Make use of DON'T CARE terms to minimize the function Control BCD Number - DE --------- lololololololololololololo--T- OD --- ----------- ------------------------------- L0-0-0-0-0- ------------------------------ 0-0-0--0****** --- F= A +E ----- 11