Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 13 Jul 2017 My Price 13.00

prime implicant chart

(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 P2 and columns 0 and 2), row P3 covers row P1. Row (prime implicant) P1 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 P1 from Table 6-5, row P3 must be included in a minimal solution for the chart. Why?

Problem 6.21

Shown below is the prime implicant chart for a completely specified four-variable combinational logic function r(w, x, y, z).

(a) Algebraically express r as a product of maxterms.

(b) Give algebraic expressions for the prime implicants labeled A, C, and D in the table.

(c) Find all minimal sum-of-product expressions for r. You do not have to give algebraic expressions; instead just list the prime implicants (A, B, C, etc.) required in the sum(s).

Table 6-5

 

Answers

Maurice Tutor
(5)
Status NEW Posted 13 Jul 2017 12:07 PM My Price 13.00

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