Dear control experts, how can this digital electronics problem be solved?
Thread Content
Given the logical function F(X3,X2,X1): X1'X2'F + X1X2F' = 0, X2'X3'F + X2X3F' = 0, X3'X1'F + X3X1F' = 0. Find the simplest sum-of-products expression for F(X3,X2,X1)
No one answered, so I had to solve it myself. Multiply both sides of the first equation by X1X2, the second by X2X3, and the third by X3X1. Adding these three equations together gives (X1X2+X2X3+X3X1)F’ = 0, which means F = X1X2+X2X3+X3X1. This post was last edited by we11we11 on 2009-3-22 at 14:06