# Boolean logic gate question

Discussion in 'Homework Help' started by fran1942, Oct 11, 2010.

1. ### fran1942 Thread Starter Member

Jul 26, 2010
58
0
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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2. ### Georacer Moderator

Nov 25, 2009
5,142
1,266
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 $f=\bar{AB+(B+C)}$.