How do I find the sum of products expansion of this Boolean function F(x,y) that equals 1 if and only if x = 1

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- Nov 27th 2009, 02:30 PMerinneedshelpSum of products expansion help
How do I find the sum of products expansion of this Boolean function F(x,y) that equals 1 if and only if x = 1

- Nov 27th 2009, 04:14 PMemakarov
The sum of products expansion is easily obtained from the truth table. For each line of the table where the function value is 1, e.g.,

Code:`x | y | F(x,y)`

--------------

....

1 | 0 | 1

....

To repeat, you add all such products for lines where $\displaystyle F(x,y)=1$.