Question

Unit 5 Exercises(1 Protected View Saved to this PC ( ) - puspa gir Mome Insert Draw Design Layout References Mailings Help TED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View Review View O Tell me what you want to do Share fnable Editing 5.9 Find the minimum sum of products and the minimum product of sums for each function: (a) F(A, B. C, D, E) = Em(0, 1,2, 6, 7,9, 10, 15, 16, 18, 20, 21, 27, 30) + d(3, 4, 11, 12, 19) (b) F(A, B,C, D, E) = II M (0, 3, 6,9,11,19, 20, 24, 25, 26, 27, 28, 29, 30) II D(1,2, 12, 13) 5.10 F(a, b, c, d, e) Em(0,3,4, 5, 6, 7,8, 12, 13, 14, 16, 21,23, 24, 29, 31) (a) Find the essential prime implicants using a Karnaugh map, and indicate why each one of the chosen prime implicants is essential (there are four essential prime implicants). (b) Find all of the prime implicants by using the Karnaugh map. (There are 11 d ere to search
5.9(a) only

please help me with product of sum part only. i already got product of sum. thank you.

Answer 1

only go i will solve that you need question 5.9 ca) only. 5. 9 (a) F (A, B, C, D, E) - Em C 0, 1, 2, 6, 7, 9, 10, 15, 16, 18, 20, 21, 27,30) + Ed (3,4, 11, 12, 19) Sum of & we product :- can find sum of product using the K-map. Here Need dont no need to cover cares on to map all more. I's mapping. dont cares. and also include K-map 101 101 100 AB CDE Jooo ool AB 1000 1001 00111 bo 23 7

mappings :- (012, 16,18) BCE (0, 2, 4,67 ABE (1,3,9, 11) ĀTE (2, 3,10,11) ACD. (3,7, 11, 15) ĀDE (3,11,19,27): O DE (20,21) : A B CD .. (30) : A.B.C.D. Ē = B C Ē +Ā Ē tÃČE+ À E DI ADET CDE + A B C i t a .B.C.D.E 90 Find form { Here values product of sum change canonical to I Take all values in T where the not exist in E as well as dont care a - Dont Cane terms same. remains FLA, B, C, D) = TM (5, 8, 13, 14, 17, 22, 23, 24, 25, 26, 28, 29, 30o. TTD(3, 4, 11, 12, 19).

Now perfolm K-map! CDE 110 111 @10) 100 000 001 2011 00 이 이 oro 10 Mappings :- (8,12,24,28) ! B +D+E 24,5, 12, 13): Atc to (29,31 A + B tête (22, 23) : Āt Btc to (24,26) . A fB tc tE (17, 25) Atct DIE (12, 14) : At Btct E. . The product of sum expression is F = (B + D + E). (ATC+D). (A + B + C + E). CAT B+E+D). Cat B + C + Elo ( Ã t C + D + Ê ). (A+B+C + E)