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(Karnaugh Map Method) Use K-maps on the expressions of Exercise 2.30. Show your work in K-map form.

(a) Find the minimized sum-of-products form.

(b) Find the minimized product-of-sums form.

(c) Find the minimized sum-of-products form of the function's complement.

(d) Find the minimized product-of-sums form of the function's complement.

Exercise 2.30

(Laws and Theorems of Boolean Algebra) Simplify the following expressions using the laws and theorems of Boolean algebra:

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