(a) Write the switching function f(x, y) = x + y as a sum
Chapter 4, Problem 4.41(choose chapter or problem)
(a) Write the switching function f(x, y) = x + y as a sum of minterms and as a product of maxterms.
(b) Consider the Boolean algebra of four elements {0, 1, a, b} specified by the following operation tables and the Boolean function f(x, y) = ax + by where a and b are two of the elements in the Boolean algebra. Write f(x, y) in a sum-of-minterms form.
(c) Write the Boolean function of part (b) in a product-of-maxterms form.
(d) Give a table of combinations for the Boolean function of part (b). (Note: The table of combinations has 16 rows, not just 4.)
(e) Which four rows of the table of combinations completely specify the function of part (b)? Verify your answer.
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