Realize the function by decoder and circuit, Other Engineering

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Realize the function by decoder and circuit

Solve the following problem

The function f(x₁, x₂, x₃) is given by the set of decimal indices of 1-minterms f(1) = {0, 3, 4, 5, 6}. Realize f by an (8 × 1) decoder and an AND circuit and the same decoder and a NAND circuit.

Compare these realizations in the number of required nodes of the decoder.

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