You can express any logic function f as f(x,y,z,...)=x f(x=1, y, z, ...) + x' f(x=0, y, z, ...). This is called Shannon's Expansion. = For example, f(w1, W2, W3, W) = W (W) + Wf (w), where (w ) = f(w 0, W2, W3, W4) and f(w) = f(w = 1, W2, W3, W4), as illustrated in the figure below W1 W2 W3 f(w) W4 0 f f(w) (a) In case the decomposition yields f(w) = 1, then you can replace the multiplexer in the figure by a single logic gate. Show this circuit. (b) Repeat (a) for the case where f (w) = 0. Activate W