# Answered! Using a Karnaugh map, obtain the minimal sum-of-products form for these functions. a. F(A, B, C, D) = sigma m(0…

Using a Karnaugh map, obtain the minimal sum-of-products form for these functions. a. F(A, B, C, D) = sigma m(0, 1, 3, 4, 5, 7, 8, 12) b. F(A, B, C, D) = sigma m(0, 2, 4, 5, 8, 10, 11, 12, 13) c. F(A, B, C, D) = sigma m(1, 2, 3, 5, 6, 9, 11, 13, 14, 15)

a.F(A,B,C,D)=(0,1,3,4,5,7,8,12)

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Answered! Using a Karnaugh map, obtain the minimal sum-of-products form for these functions. a. F(A, B, C, D) = sigma m(0…
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 1 1 1 1 1 1 1 1

Hence the function (F)=C’D’+A’C’+DA’

……………………………………………………………………………………………………………………………………….

b.F(A,B,C,D)=(0,2,4,5,8,10,11,12,13)

 1 1 1 1 1 1 1 1 1 1

Hence The function F=C’D’+C’B+CB’

………………………………………………………………………………………………………………………………………….

c.F(A,B,C,D)=1,2,3,5,6,9,11,13,14,15)

 1 1 1 1 1 1 1 1 1

(1,3)=DA’B’

(2,6)=CD’A’

(6,.5)=BCD’

Hence the function F=DA’+DA’B’+A’CD’+BCD’

Note:  give the index for the 4 rows i.e R1(0,1,3,2)

R2(4,5,7,6)

R3(12,13,15,14)

R4(8,9,11,10)

Now place 1 in the table as per the index order as above and form the quads and pairs,then write the sop equation.