Question

I. Simplify the following Boolean functions using K-maps. 6. F(A, B, C, D) = ?(0,2,3,5,7,8,10,11,14,15) 7. F(A, B, C, D) = ?(1,3,5,7,13,15) 8. F(A, B, C, D) = ?(1,3,6,9,11,12,14) 9. F(A, B, C, D) = \overline{A}\overline{B}C\overline{D} + \overline{A}B\overline{C}D + A\overline{B}C\overline{D} + A\overline{B}C\overline{D} + A\overline{B}C\overline{D} don'tcares are at (0,2,9,12)

          I. Simplify the following Boolean functions using K-maps.
6. F(A, B, C, D) = ?(0,2,3,5,7,8,10,11,14,15)
7. F(A, B, C, D) = ?(1,3,5,7,13,15)
8. F(A, B, C, D) = ?(1,3,6,9,11,12,14)
9. F(A, B, C, D) = \overline{A}\overline{B}C\overline{D} + \overline{A}B\overline{C}D + A\overline{B}C\overline{D} + A\overline{B}C\overline{D} + A\overline{B}C\overline{D}
don'tcares are at (0,2,9,12)

I. Simplify the following Boolean functions using K-maps.
6. F(A, B, C, D) = ?(0,2,3,5,7,8,10,11,14,15)
7. F(A, B, C, D) = ?(1,3,5,7,13,15)
8. F(A, B, C, D) = ?(1,3,6,9,11,12,14)
9. F(A, B, C, D) = ABCD + ABCD + ABCD + ABCD + ABCD
don'tcares are at (0,2,9,12)

Added by Lisa M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/28/2023

Step 1

Step 2: The K-map for F(A,B,C,D)=\sum (0,2,3,5,7,8,10,11,14,15) is as follows: \begin{array}{|c|c|c|c|c|} \hline D\textbackslash ABC & 00 & 01 & 11 & 10 \\ \hline 00 & 1 & 1 & 1 & 1 \\ \hline 01 & 1 & 1 & 1 & 1 \\ \hline 11 & 1 & 1 & 1 & 1 \\ \hline 10 & 1 & 1 & Show more…

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I. Simplify the following Boolean functions using K-maps. F(A,B,C,D)=sum (0,2,3,5,7,8,10,11,14,15) F(A,B,C,D)=prod(1,3,5,7,13,15) F(A,B,C,D)=prod(1,3,6,9,11,12,14) F(A,B,C,D)=ar{A}ar{B}ar{C}D+ar{A}ar{B}CD+ABCD+ar{A}ar{B}ar{C}ar{D}+ar{A}BCar{D} don'tcares are at (0,2,9,12) Simplify the following Boolean functions using K-maps 6. F(A,B,C,D) =ar{E}(0,2,3,5,7,8,10,11,14,15) 7. F(A,B,C,D) =ar{I}ar{I}(1,3,5,7,13,15) 8. F(A,B,C,D) = ar{I}ar{I}(1,3,6,9,11,12,14) 9.F(A,B,C,D)=ABCD+ABCD+ABCD+ABCD+ABCD don'tcares are at (0,2,9,12)