3. (Decoders) Given three four-input Boolean functions

f₁(a, b, c, d) = m(1, 2, 3, 10, 12) + d(5, 8),

f₂(a, b, c, d) = m(0, 3, 6, 15) + d(2, 10),

f₃(a, b, c, d) = m(2, 8, 9, 14) + d(11, 12, 13).

3.1. Implement the functions using a minimal network of 4:16 decoders and OR gates.

3.2. Implement the functions using a minimal network of 3:8 decoders and OR gates.

3.3. Implement the functions using a minimal network of 2:4 decoders and OR gates.

Please explain, thanks!