A binary 3-bit down counter uses J-K flip-flops, FFᵢ with inputs Jᵢ, Kᵢ and outputs Qᵢ, i = 0, 1, 2 respectively. The minimized expression for the input…
A binary 3-bit down counter uses J-K flip-flops, FFᵢ with inputs Jᵢ, Kᵢ and outputs Qᵢ, i = 0, 1, 2 respectively. The minimized expression for the input from following, is
I. J₀ = K₀ = 0
II. J₀ = K₀ = 1
III. J₁ = K₁ = Q₀
IV. J₁ = K₁ = Q₀'
V. J₂ = K₂ = Q₁ Q₀
VI. J₂ = K₂ = Q₁' Q₀'
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Correct answer: (D) II, IV, VI
Explanation
For a 3-bit down counter using J-K flip-flops (in toggle mode): J₀ = K₀ = 1, J₁ = K₁ = Q₀' and J₂ = K₂ = Q₁' Q₀'. So II, IV and VI.