(a) In the prime implicant chart of 6.21, column 7 is said

Chapter 6, Problem 6.22

(choose chapter or problem)

(a) In the prime implicant chart of Problem 6.21, column 7 is said to cover column 6 since column 7 has an X in each row that column 6 does. Similarly, column 11 covers column 10 and column 15 covers column 14. Columns 7, 11, and 15 can be removed to obtain a simpler chart having the same solutions as the original. Explain why this is correct.

(b) In Table 6-5 (after removing row \(P_2\) and columns 0 and 2), row \(P_3\) covers row \(P_1\). Row (prime implicant) \(P_1\) can be removed, and the resulting chart will have a minimum solution for the original table. Explain why this is correct. Are there any restrictions on the two prime implicants to allow removal of the covered prime implicant?

(c) After deleting row \(P_1\) from Table 6-5, row \(P_3\) must be included in a minimal solution for the chart. Why?

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