Electrical – Sum-of-Product understanding

boolean-algebradigital-logiclogic-gatestruth-table

I am trying to learn Sum-of-Products and minterms and maxterms for logic design, but I don't know how the book gets the f(x1,x2,x3) part.

I think I understand the minterm from the first pic (it's like you do the inversion if any of the bit is 0?), but the part I dont get is the second picture where from x1,x2,and x3, they get the f(x1,x2,x3).

How did they get from the row numbers to f(x1,x2,x3)?

minterm and maxterm

three-variable function f (x1, x2, x3)

Best Answer

I dont get is the second picture where from x1,x2,and x3, they get the f(x1,x2,x3).

In the second table, the given f(x1, x2, x3) is part of the problem statement.

For any f(x1, x2, x3) function you are given, you can find a SOP representation, and from there design the logic to implement the function.

The one in the table is just an example to illustrate this procedure.

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