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For F = A.B.C + B.C.D‾ + A‾.B.C , write the truth table and simplify using Karnaugh map.And. Simplification of Logic Function F = A B C + B C‾ D + A‾ B C. Therefore the Truth Table is specified in Table no.1
Inputs
A B C D
Output
(F)
0 0 0 0
0
0 0 0 1
0 0 1 0
0 0 1 1
0 1 0 0
0 1 0 1
1
0 1 1 0
0 1 1 1
1 0 0 0
1 0 0 1
1 0 1 0
1 0 1 1
1 1 0 0
1 1 0 1
1 1 1 0
1 1 1 1
Now the Karnaugh Map is represented in fig.(a).The simplified expression is F = BC + BD
mod12 counter connection diagram
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