1.) Prove using theorems of Boolean Algebra that: BC + B'A' + A'C' = ABC + A'.
2.) Given the following function in sum-of-product form (not necessarily minimized): F(A,B,C,D) = A'BC+AD+AC, Re-Express the function in canonical product-of-sums form. Use big M notation.
3.) Given the following function in product-of-sums form, not necessarily minimized, F(W,X,Y,Z) = (W + X' + Y')(W' + Z')(W + Y), Re-express the function in the canonical sum-of-products form. Use little m notation.