CS302 Assignment No3 Solution Spring 2021

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CS302 Assignment No3 Solution Spring 2021

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Spring 2021

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CS302 Assignment 2 Solution 2021 - Digital Logic Design Assignment

CS302 Assignment 1 Solution Spring 2021

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CS402 Assignment 1 Solution 2021

Question 1:

Consider the following Canonical Sum:

A,B,C,D,E,F (0,1,3,5,7,17,18,19,24,25,33,37,39,41,47,48,55,59,60,62)

Simplify the stated expression using the Quine McClusky method of Boolean Expression simplification.

All the Minterms are listed below in the tabular form.

Minterms

A

B

C

D

E

F

0

0

0

0

0

0

0

1

0

0

0

0

0

1

3

0

0

0

0

1

1

5

0

0

0

1

0

1

7

0

0

0

1

1

1

17

0

1

0

0

0

1

18

0

1

0

0

1

0

19

0

1

0

0

1

1

24

0

1

1

0

0

0

25

0

1

1

0

0

1

33

0

1

1

0

0

1

37

1

0

0

1

0

1

39

1

0

0

1

0

1

41

1

0

1

0

0

1

47

1

0

1

1

1

1

48

1

1

0

0

0

0

55

1

1

0

1

1

1

59

1

1

1

0

1

1

60

1

1

1

1

0

0

62

1

1

1

1

1

0

The Table of Minterms is rearranged in groups of minterms having 0,1,2,3,4 and 5 Is table is given below

Minterms

A

B

C

D

E

F

Used

0

0

0

0

0

0

0

1

0

0

0

0

0

1

3

0

0

0

0

1

1

5

0

0

0

1

0

1

17

0

1

0

0

0

1

18

0

1

1

0

0

0

24

0

1

1

0

0

0

33

1

0

0

0

0

1

48

1

1

0

0

0

0

7

0

0

0

1

1

1

19

0

1

0

0

1

1

25

0

1

1

0

0

1

37

1

0

0

1

0

1

41

1

0

1

0

0

1

39

1

0

0

1

1

1

60

1

1

1

1

0

0

47

1

0

1

1

1

1

55

1

1

0

1

1

1

59

1

1

1

0

1

1

62

1

1

1

1

1

0

 All pair in the above table of minterms which can be compared together to eliminate a variable is marked as used.

Minterm

A

B

C

D

E

F

Used

1,3

0

0

0

0

-

1

1,5

0

0

0

-

0

1

1,17

0

-

0

0

0

1

1,33

-

0

0

0

0

1









3,7

0

0

0

-

1

1


3,19

0

-

0

0

1

1

5,37

-

0

0

1

0

1

17,19

0

1

0

0

-

1

17,25

0

1

-

0

0

1


18,19

0

1

-

0

0

-


24,25

0

1

1

0

0

-


33,37

1

0

0

-

0

1

33,41

1

0

-

0

0

1










7,39

-

0

0

1

1

1









39,47

1

0

-

1

1

1


39,55

1

-

0

1

1

1


60,62

1

1

1

-

0


From the above table eliminating a single variable from each term

Minterm

A

B

C

D

E

F

Used

1,3,17,19

0

-

0

0

-

1

1,5,33,37

-

0

0

-

0

1

1,17,3,19

0

-

0

0

-

1

1,33,5,37

-

0

0

-

0

1

5,37,7,39

-

0

0

1

-

1

From the above table, I compared and removed two variables

Prime implicant Chart:


1

3

5

7

17

19

33

37

39

AC DF

x

x



x

x




BC EF

x


x




x

x


AC DF

x

x



x

x




BC EF

x


x




x

x


BC DF


x


x




x

x

The simplified expression is AC DF + BC EF + BC DF

CS302 Assignment 2 Solution 2021

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