a. Design a switching circuit that has four inputs (A, B, C, D) and three outputs ( F₂, F₁, F₀), with outputs as follows: F₂ = ABC'D' F₁ = ABC + A'B'C'D' + A'B'D+ A'CD' + AB'C' + A'CD + A'B'D F₀ = (A'B+AB')(CD+C'D') + (AB +A'B')(C'D+CD')

b. Obtain the timing diagram using simulations and construct a truth table for the same

a. A decoder is a circuit that is widely used in digital design. A 4-to-16 decoder has four inputs (W,X,Y,Z) and sixteen outputs (F₁₅, F₁₄, F₁₃, F₁₂, F₁₁, F₁₀, F₉, F_8,F₇, F₆, F₅, F₄, F₃, F₂, F₁, F₀). The inputs and outputs are related as follows: F15 = WXYZ F14 = WXYZ' F13 = WXY'Z F12 = WXY'Z' F11 = WX'YZ F10 = WX'YZ' F9 = WX'Y'Z F8 = WX'Y'Z' F7 = W'XYZ F6 = W'XYZ' F5 = W'XY'Z F4 = W'XY'Z' F3 = W'X'YZ F2 = W'X'YZ' F1 = W'X'Y'Z F0 = W'X'Y'Z'

b. Obtain the timing diagram using simulations and construct a truth table from these input and output