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The minimal function that can detect a "divisible by 3" 8421 BCD code digit (representation D₈D₄D₂D₁) is given by

D₈D₁ + D₄D₂ + D₈D₂D₁

D₈D₁ + D₄D₂ D₁ + D₄D₂D₁ + D₈D₄D₂D₁

D₄D₁ + D₄D₂ + D₈D₄ D₂D₁

D₄D₂D₁ + D₄D₂D₁ + D₈D₄D₂D₁

Answer : Option B

Explanation :

Now the problem can be solved using k-map method.

The function can be expressed as Σm(0, 3, 6, 9) + d(10, 11, 12, 13, 14, 15)

∴ K-map is

∴ The function is

D₈D₄D₂D₁ + D₄D₂D₁ + D₄D₂D₁ + D₈D₁ .

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