Question

Simplify the following boolean expression to a sum-of-products with 3 terms and 6 total literals: W'X + X Y + YZ + W'Z'

Answer 1

given Boolean Expression W'x' + xy! + y2 +w!z! expanding the Equation: Wik! + x'x! + y2+wz', wX' Cy'+y) (z'+z) +(www') x'y' (z+2') + (wtW') (x+x' Dyz + (w's) (x+x') (x+y'12 cas CAPA! 201 Idem podent Law) & wt'y'z't willy'z + wxlyz + w'xlyzl +w'x y'z't wxyz + wxyz! twxyz & wxlylz't wxlylzt wxlyz. . (After expanding the given Equation there are similar terms Repeating I have written them only Once) plotting the terms on a K-Map.

20 ton O MU Simplified Expression after cusing k-Map = 72+ w'z'tx'y' 1. expression has a terms The simplified § 6 literals. The simplified expression is similar to original expression except the term wxl. The term will is the redundant term which is simplified using K-Map.