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I had a slight doubt as regards with Minterm. How the output is 1 in the truth table values of the minterms?Please explain in detail.

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There is nothing like " Output is 1 in the truth table values of the minterms."

Value of a minterm is 0 or 1 depends on the function.

$For \ ex$- Consider 2 variables $x$ and $y$.
In minterms,
$ 1 \rightarrow x $
$ 0 \rightarrow x' $

$x$ $y$ $Minterm$
0 0 $x'y' =m_0$
0 1 $x'y = m_1$
1 0 $xy' = m_2$
1 1 $xy = m_3$

 

Now consider 2 functions -

$x$ $y$ $Minterm$ $F_1(x,y) = x.y$ $F_2(x,y) =x+y$
0 0 $x'y=m_0$ 0 0
0 1 $x'y=m_1$ 0 1
1 0 $xy'=m_2$ 0 1
1 1 $xy=m_3$ 1 1

 

For function $F_1(x,y)$ only $m_3$ is $1$.
For function $F_2(x,y),m_1,m_2,m_3 \ is \ 1$. 

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