# Boolean logic gate question

#### fran1942

Joined Jul 26, 2010
58
Hello, my lecturer gave us this logic diagram and truth table, but I am confused by the outcome of the first truth table line eg. A0, B0, C0.
Should that line not equal 1 ?

Also, is the Boolean expression correct for this diagram ?

Thanks kindly for any help.

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#### Georacer

Joined Nov 25, 2009
5,182
Quite correctly, first line's result is 1.

But the parenthesis in the boolean expression defies every mathematical convetion: Enclosing only a term and an operator? Just kidding, I 'm sure it's just a typo.

The correct form is $$f=\bar{AB+(B+C)}$$.