Question

Simplify F(A,B,C,D) = $\sum$ (1,3,4,6,9,11,12,15) algebraically. The result is B'D' + A'BD + BC'D + ACD'. Show how to obtain this result with detailed steps explaining which axioms/theorems were used. NO K-MAPS!!! Thank you!

Answer 1

Answer is as follows:

pivid 2 住nelin Gr L Cr 2. G13 75 bis G1 1, 9 G 2 G 3 1, 1s

P.1 e'p A BD 12. IS o1 4 l o

Explanation:

• First we find the binary equivalent of all the minterms.
• Group them according to 1's present in the binary equivalents.
• Merge the groups where 1 bit is changed.
• If any Minterm is can't obtain after merging than go to past and find them and merged within the group like (4,6) and (4,12).
• After find all the prime implicants of obtaining results.
• Put them into EPI i.e. Essential Prime Implicants Table to get essential attributes.
• Get the Final Expression.
• There is prove with K-map also.

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