any help will do thank you

Given the Following truth table: a 0 0 0 0 1 1 1 1 b 0 0 1 1 0 0 1 1 c 0 1 0 1 0 1 0 1 f 0 1 0 1 1 1 0 0 a) (5 points) Using only AND, OR and NOT gates, draw a schematic diagram of a cir- cuit that outputs the function in the above truth table and is implemented using the decoder SOP method style discussed in lecture on January 28th and January 30th b) (5 points) Using the rules and examples of binary algebra discussed in lecture, express the above truth table in SOP form (starting with its minterms) and then reduce the equation as much as possible. Show all your work in the style shown in the "Minimum SOP and POS Forms" examples in the Boolean Algebra lecture notes that were posted in week 2 (5 points) Using only AND, OR and NOT gates, draw a schematic diagram of a circuit based on the reduced equation in the last