1a,1b,and 1c :))

Part 1: Expression reductions (25 points) Reduce the following Boolean expressions as much as possible to their simplest form. Show all steps for each process. a) F(A, B, C) = A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C + ABC' + ABC b) F(A, B, C) = A'B'C + A'BC' + A'BC + AB'C' + AB'C + ABC c) F(A, B, C) = A'B'C' + A'BC" + A'BC + AB'C' + AB'C + ABC d) F(A, B, C) = A'B'C' + A'B'C + A'BC + AB'C' + ABC' + ABC e) F(A, B, C) = A'B'C' + A'B'C + A'BC' + AB'C + ABC' + ABC Part 2: Find the complements (25 points) Find the complements for all the solutions you found in Part 1. Show all steps for each process. Part 3: Sum of Products (SOP) (25 points) Find the sum of products for the following expressions. Show your result in the algebraic and the summation form. Show all steps for each process. a) F = (b + cd)(c + bd) b) F = (bd + cd)(c + bc) c) F = (bc + d)(c + b'd) d) F = (b + c'd)(b + cd) e) F = (b'c + c'd)(bd + cd) Part 4: Find the complements (25 points) Find the complements for all the solutions you found in Part 3. Show all steps for each process