Question

4. What is the output when the numbers 3, 5, 10, and 14 occurs. Hint: You want to get it into a formal like A'B'C or something like it (8 Points) Note that this is an example and not the answer. Function wise it looks like f - Where A has the binary value of 8, B has the binary value of 4, etc. (3,5,10,14) You need to create a Karnaugh map to create the function f Then use the Karnaugh map to create the simplified expression Hint: I use something like A'B'CD' which equates to a 2 where the values of ABCD are as below

Answer 1

Ans:-

K-map is used to find out simplified boolean expression

f = { (3, 5, 10, 14) Four Minterms are 3, 5, 10, 14 A has binary value of 8 ie 1000 1. Draw K-Map of size 4x4 B has binary value of 4 eloo 2. have numbering to each c has binary value of 2i.elo D has binary balm of dell of K-Mak CD 00 01 Llo line AB CD *Bolo. 0.0.1 3.Jnant l'in K-Mob if o minterm exist Else insert oink-Mak 4. Try to find out maxeinem pair of tes such that watember of Is in power of 2. 5. Find the corresponding terms men related to each set of 1. Expression, for eg for {(14, 10) A B C D + Ā B C D + CDA c=1,D=0, A=1 is common for both 14 and to Hence mintern is CDA 0.010,1870 10o aut coa K-Map

K-map and resultant simplified expression with step-wise procedure is given in the above image.