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The tic-tac-toe is a 2 players game using a 3x3 grid of squares. The players alt

ID: 3544221 • Letter: T

Question

The tic-tac-toe is a 2 players game using a 3x3 grid of squares. The players alternate turns. Each

player places a mark (one player uses X and the other O) in a square. The first player with three

marks in a row, in a column or on a diagonal wins the game.


1. Using the following pattern of boolean variables (corresponding to the 3x3 grid), define the

boolean function that returns 1 if there is a winning pattern.


X1 X2 X3

X4 X5 X6

X7 X8 X9


2. Draw the corresponding AND/OR 2 levels SOP digital circuit.

Explanation / Answer

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