Figure 1 below represents a PLA grid of a 4 x 3 PLA with seven (7) product terms; a, b, c, d, e, f, g. Figure 1. PLA Grid Using the grid to implement the following Boolean functions p(w, x, y, z) = ? m(3, 7, 8, 9, 11, 15) q(w, x, y, z) = ? m(3, 4, 5, 7, 10, 14, 15) r(w, x, y, z) = ? m(1, 5, 7, 11, 15) (a) Derive an expression for each of the seven product terms, (a, b, c, d, e, f, g), shown in the PLA grid. NOTE: List your answers in alphabetical order where x comes before x' (x' means not x) a = wx'y' b = yz c = w'xy' d = w'yz e = wxy f = wyz' g = w'x'z (b) Enter the coordinates representing each fused connection that would implement the output functions p, q, and r. (List all the coordinates that occur on each output line, by separating each occurrence with a comma) p = wx'y',yz q = w'xy',w'yz,wxy,wyz' r = w'yz,w'x'z,wyz
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- \( p(w, x, y, z) = \sum m(3, 7, 8, 9, 11, 15) \) - \( q(w, x, y, z) = \sum m(3, 4, 5, 7, 10, 14, 15) \) - \( r(w, x, y, z) = \sum m(1, 5, 7, 11, 15) \) Show more…
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