## [answered] 1. (3-4) A simple well-known game, tic-tac-toe, is played o

1. (3-4) A simple well-known game, tic-tac-toe, is played on a three-by-three grid of squares by two players. The players alternate turns. Each player chooses a square and places a mark in a square (One player uses X and the other 0). The first player with three marks in a row, in a column, or on a diagonal wins the game. A logic circuit is to be designed for an electronic tic-tac-toe that indicates the presence of a winning pattern. The circuit output W is a 1 if a winning pattern is present and a 0 if a winning pattern is not present. For each of the nine squares, there are two signals, X,- and 0,-. Two copies of the circuit are used, one for KS and one for Os. Hint: form a condensed truth table for W(X1,X2, ...,X9). a. Design the X circuit for the following pattern of signals for the squares: X1 X2 X3 X4 X5 X6 X7 X8 X9 b. Minimize the Woutput for the X circuit as much as possible, using Boolean algebra.
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