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If we have F=(0,1,2,3). And F1=(1,2), F2=(0,3).

What is F1.F1 ?

What does F1.F2 mean?

3 Answers

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Dot (.) means AND in digital logic. 

It is given that  F1 has output as '1' for terms 1,2 and  F2 has output '1' for terms 0,3.

Now look at the table below for answer

a b F1 F2 F1.F2
0 0 0 1 0 AND 1 = 0
0 1 1 0 1 AND 0 = 0
1 0 1 0 1 AND 0 = 0
1 1 0 1 0 AND 1 = 0
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I would like to add something to the answer given by Arunav Khare. He has given detailed explanation and I would like to tell a shortcut here.. If F1 and F2 are two functions, then F1.F2 will contain the minterms present in both F1 and F2.

In our example F1= (1,2) and F2 (0,3). Since there is no minterm common between F1 and F2. So F1.F2 = ∅ and F1.F1 = (1,2)

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