Let us obtain the sum-of-products and product-of-sum canonical form for x1āā(x2āā
x3ā²ā). For this let us construct the trush table:
x1ā00001111āx2ā00110011āx3ā01010101āx3ā²ā10101010āx2āā
x3ā²ā00100010āx1āā(x2āā
x3ā²ā)00101101āā
It follows from the trush table that the sum-of-products canonical form is the following:
x1ā²āx2āx3ā²ā+x1āx2ā²āx3ā²ā+x1āx2ā²āx3ā+x1āx2āx3ā;
and the product-of-sum canonical form is the following:
(x1ā+x2ā+x3ā)(x1ā+x2ā+x3ā²ā)(x1ā+x2ā²ā+x3ā²ā)(x1ā²ā+x2ā²ā+x3ā).
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