Question

Homework 2 EE 2420-Spring 2019 Due: Thursday, 2/21/19 @ 11:59 PM 100 points All homework must be typed or written in neat handwriting and scanned or photographed and submitted in PDF format to TRACS. If we cannot easily read your submission, we will not grade your work. Note that files are only submitted if TRACS indicates a successful submission. All homework answers must be submitted individually in your own words and showing all work; however, I encourage you to work in groups and discuss the problems with your classmates. Full credit requires a clear, concise explanation of your solution. In other words, it is not enough to provide the correct answer; you must also show your work and/or concisely explain your reasoning. Incorrect explanations may result in lost points even when present in combination with correct information 2.1) Concepts (short answer): a) How is minterm mo related to maxterm Mo? b) What is an essential prime implicant? (Be sure to define both the 'essential' part and the prime' part in your answer). c) In a 4-variable K-map, how many literals (variables) does a resulting term have if it is represented on the K-map by a grouping of 4 adjacent 1's? d) Why must the rows and/or columns of a K-map be Gray-coded (i.e., numbered00, 01 11,10 instead of 00, 01,10, 11)? e) What is a don't-care condition and why is it useful?

Answer 1

I did 2.09 and 2.10 and it relates with kmap solving and all in sop form

F(A, B, C, D) = sigma m (0, 2, 3, 5, 7, 8, 10, 12, 14, 15) PI-6, PI2 are eventual prime It consist of any one which not lines with any one, PI6, PI2 are two eventual prime implicate f(A, B, C, D) = AC + B^bar D^bar + A^bar B D \r\n f = AB + BC^bar D(A, B, C, D) = sigma m(1, 2, 5, 8, 10) + sigma d (0, 3, 9) F(A, B, C, D) = A^bar C^bar D + B^bar D^bar F(A, B, C, D) = sigma m (3, 5, 7, 8, 9, 15) + sigma d (1, 2, 13, 14) F(A, B, C, D) = A^bar C D + B C D + A B^bar C