Question

Solve and write the designation of Min term

                                                                                  A̅ B C̅ and B̅ A̅ C̅

Solve and write designation of Max term

                                                                             A̅ + B̅ + C and A̅ + C̅ + B

Answer 1

The term here contains 3 variable . So minterm or maxterm contains values from 0 to 7.

1. Minterm.

Here the terms are A'BC'

Variable with bar (') is treated as 0 while the variable itself is treated as 1.

So decimal value of A'BC' => 010 =>2

Similarly A'B'C' = 000 = 0.

So the minterm is : m(0, 2)

2.Maxterm

Here the variable with bar (') is treated as 1 while the variable itself is treated as 0.

A'+B'+C = 110 = 6

A'+C'+B = A' + B + C' = 101 = 5 ( Always take value in order A, B and C orelse the decimal value will change)

So the maxterm is : M(5, 6)

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